Solve (x-3)(x-(42i))(x-(4-2i))(x-(1 sqrt(7)))(x-(1- s

Question

Simplify the expression

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (103 + 328 i) x^{3} + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (- 348 - 792 i) x^{2} + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (252 + 504 i) x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Evaluate

(x - 3) (x - 42 i) (x - (4 - 2 i)) (x - (1 \times s q r t \times 7)) (x - (1 - s q r t \times 7))

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

(x - 3) (x - 42 i) (x - 4 + 2 i) (x - (1 \times s q r t \times 7)) (x - (1 - s q r t \times 7))

Multiply the terms

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(x - 3) (x - 42 i) (x - 4 + 2 i) (x - 7 s q r t) (x - (1 - s q r t \times 7))

Use the commutative property to reorder the terms

(x - 3) (x - 42 i) (x - 4 + 2 i) (x - 7 s q r t) (x - (1 - 7 s q r t))

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

(x - 3) (x - 42 i) (x - 4 + 2 i) (x - 7 s q r t) (x - 1 + 7 s q r t)

Multiply the terms

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(x^{2} + (- 42 i - 3) x + 126 i) (x - 4 + 2 i) (x - 7 s q r t) (x - 1 + 7 s q r t)

Multiply the terms

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Evaluate

(x^{2} + (- 42 i - 3) x + 126 i) (x - 4 + 2 i)

Apply the distributive property

x^{2} \times x - x^{2} (4 - 2 i) + (- 42 i - 3) x \times x - (- 42 i - 3) x (4 - 2 i) + 126 i x - 126 i (4 - 2 i)

Multiply the terms

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x^{3} - x^{2} (4 - 2 i) + (- 42 i - 3) x \times x - (- 42 i - 3) x (4 - 2 i) + 126 i x - 126 i (4 - 2 i)

Use the commutative property to reorder the terms

x^{3} + (- 4 + 2 i) x^{2} + (- 42 i - 3) x \times x - (- 42 i - 3) x (4 - 2 i) + 126 i x - 126 i (4 - 2 i)

Multiply the terms

x^{3} + (- 4 + 2 i) x^{2} + (- 42 i - 3) x^{2} - (- 42 i - 3) x (4 - 2 i) + 126 i x - 126 i (4 - 2 i)

Multiply the numbers

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x^{3} + (- 4 + 2 i) x^{2} + (- 42 i - 3) x^{2} - (- 96 - 162 i) x + 126 i x - 126 i (4 - 2 i)

Multiply the numbers

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x^{3} + (- 4 + 2 i) x^{2} + (- 42 i - 3) x^{2} - (- 96 - 162 i) x + 126 i x - 252 - 504 i

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{3} + (- 4 + 2 i) x^{2} + (- 42 i - 3) x^{2} + (96 + 162 i) x + 126 i x - 252 - 504 i

Subtract the terms

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x^{3} + (- 7 - 40 i) x^{2} + (96 + 162 i) x + 126 i x - 252 - 504 i

Add the terms

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x^{3} + (- 7 - 40 i) x^{2} + (96 + 288 i) x - 252 - 504 i

(x^{3} + (- 7 - 40 i) x^{2} + (96 + 288 i) x - 252 - 504 i) (x - 7 s q r t) (x - 1 + 7 s q r t)

Multiply the terms

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Evaluate

(x^{3} + (- 7 - 40 i) x^{2} + (96 + 288 i) x - 252 - 504 i) (x - 7 s q r t)

Apply the distributive property

x^{3} \times x - x^{3} \times 7 s q r t + (- 7 - 40 i) x^{2} \times x - (- 7 - 40 i) x^{2} \times 7 s q r t + (96 + 288 i) x \times x - (96 + 288 i) x \times 7 s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Multiply the terms

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x^{4} - x^{3} \times 7 s q r t + (- 7 - 40 i) x^{2} \times x - (- 7 - 40 i) x^{2} \times 7 s q r t + (96 + 288 i) x \times x - (96 + 288 i) x \times 7 s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Use the commutative property to reorder the terms

x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{2} \times x - (- 7 - 40 i) x^{2} \times 7 s q r t + (96 + 288 i) x \times x - (96 + 288 i) x \times 7 s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Multiply the terms

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x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} - (- 7 - 40 i) x^{2} \times 7 s q r t + (96 + 288 i) x \times x - (96 + 288 i) x \times 7 s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Multiply the numbers

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x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} - (- 49 - 280 i) x^{2} s q r t + (96 + 288 i) x \times x - (96 + 288 i) x \times 7 s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Multiply the terms

x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} - (- 49 - 280 i) x^{2} s q r t + (96 + 288 i) x^{2} - (96 + 288 i) x \times 7 s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Multiply the numbers

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x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} - (- 49 - 280 i) x^{2} s q r t + (96 + 288 i) x^{2} + (- 672 - 2016 i) x s q r t + (- 252 - 504 i) x - (- 252 - 504 i) \times 7 s q r t

Multiply the numbers

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x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} - (- 49 - 280 i) x^{2} s q r t + (96 + 288 i) x^{2} + (- 672 - 2016 i) x s q r t + (- 252 - 504 i) x - (- 1764 - 3528 i) s q r t

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} + (49 + 280 i) x^{2} s q r t + (96 + 288 i) x^{2} + (- 672 - 2016 i) x s q r t + (- 252 - 504 i) x + (1764 + 3528 i) s q r t

(x^{4} - 7 x^{3} s q r t + (- 7 - 40 i) x^{3} + (49 + 280 i) x^{2} s q r t + (96 + 288 i) x^{2} + (- 672 - 2016 i) x s q r t + (- 252 - 504 i) x + (1764 + 3528 i) s q r t) (x - 1 + 7 s q r t)

Apply the distributive property

x^{4} \times x - x^{4} \times 1 + x^{4} \times 7 s q r t - 7 x^{3} s q r t x - (- 7 x^{3} s q r t \times 1) - 7 x^{3} s q r t \times 7 s q r t + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

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x^{5} - x^{4} \times 1 + x^{4} \times 7 s q r t - 7 x^{3} s q r t x - (- 7 x^{3} s q r t \times 1) - 7 x^{3} s q r t \times 7 s q r t + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + x^{4} \times 7 s q r t - 7 x^{3} s q r t x - (- 7 x^{3} s q r t \times 1) - 7 x^{3} s q r t \times 7 s q r t + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Use the commutative property to reorder the terms

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{3} s q r t x - (- 7 x^{3} s q r t \times 1) - 7 x^{3} s q r t \times 7 s q r t + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t \times 1) - 7 x^{3} s q r t \times 7 s q r t + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 7 x^{3} s q r t \times 7 s q r t + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{3} \times x - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} \times 1 + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 7 - 40 i) x^{3} \times 7 s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the numbers

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{2} s q r t x - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t - (49 + 280 i) x^{2} s q r t \times 1 + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (49 + 280 i) x^{2} s q r t \times 7 s q r t + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{2} \times x - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} - (96 + 288 i) x^{2} \times 1 + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (96 + 288 i) x^{2} \times 7 s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the numbers

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x s q r t x - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t \times 1 + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 672 - 2016 i) x s q r t \times 7 s q r t + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x \times x - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} - (- 252 - 504 i) x \times 1 + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} - (- 252 - 504 i) x + (- 252 - 504 i) x \times 7 s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the numbers

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} - (- 252 - 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x - (1764 + 3528 i) s q r t \times 1 + (1764 + 3528 i) s q r t \times 7 s q r t

Any expression multiplied by 1 remains the same

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} - (- 252 - 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (1764 + 3528 i) s q r t \times 7 s q r t

Multiply the terms

More Steps

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t - (- 7 x^{3} s q r t) - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} - (- 7 - 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t - (- 672 - 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} - (- 252 - 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

x^{5} - x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (- 7 - 40 i) x^{4} + (7 + 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Subtract the terms

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{4} s q r t - 7 x^{4} s q r t + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (7 + 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

The sum of two opposites equals 0

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 0 + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (7 + 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Remove 0

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (7 + 40 i) x^{3} + (- 49 - 280 i) x^{3} s q r t + (49 + 280 i) x^{3} s q r t + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Calculate the sum or difference

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (7 + 40 i) x^{3} + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (96 + 288 i) x^{3} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Add the terms

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (103 + 328 i) x^{3} + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x^{2} s q r t + (- 672 - 2016 i) x^{2} s q r t + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Calculate the sum or difference

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (103 + 328 i) x^{3} + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (- 96 - 288 i) x^{2} + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (- 252 - 504 i) x^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Subtract the terms

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (103 + 328 i) x^{3} + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (- 348 - 792 i) x^{2} + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (252 + 504 i) x + (- 1764 - 3528 i) x s q r t + (1764 + 3528 i) s q r t x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Solution

More Steps

x^{5} + (- 8 - 40 i) x^{4} + 7 x^{3} s q r t - 49 x^{3} s^{2} q^{2} r^{2} t^{2} + (103 + 328 i) x^{3} + (- 49 - 280 i) x^{2} s q r t + (343 + 1960 i) x^{2} s^{2} q^{2} r^{2} t^{2} + (- 348 - 792 i) x^{2} + (672 + 2016 i) x s q r t + (- 4704 - 14112 i) x s^{2} q^{2} r^{2} t^{2} + (252 + 504 i) x + (- 1764 - 3528 i) s q r t + (12348 + 24696 i) s^{2} q^{2} r^{2} t^{2}

Show Solution