Solve (x-3)(x-1)(x^3i)(x-3i)(x^3i)(x-3i)

Evaluate

(x - 3) (x - 1) (x^{3} i) (x - 3 i) (x^{3} i) (x - 3 i)

Remove the parentheses

(x - 3) (x - 1) x^{3} i (x - 3 i) x^{3} i (x - 3 i)

Multiply the terms with the same base by adding their exponents

(x - 3) (x - 1) x^{3 + 3} i (x - 3 i) i (x - 3 i)

Add the numbers

(x - 3) (x - 1) x^{6} i (x - 3 i) i (x - 3 i)

Multiply the terms

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(x - 3) (x - 1) (- x^{6}) (x - 3 i) (x - 3 i)

Multiply the first two terms

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(- x + 3) (x - 1) x^{6} (x - 3 i) (x - 3 i)

Multiply the terms

(- x + 3) (x - 1) x^{6} (x - 3 i)^{2}

Calculate

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(- x + 3) (x - 1) x^{6} (x^{2} - 6 i x - 9)

Multiply the terms

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(- x^{2} + 4 x - 3) x^{6} (x^{2} - 6 i x - 9)

Multiply the terms

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(- x^{8} + 4 x^{7} - 3 x^{6}) (x^{2} - 6 i x - 9)

Apply the distributive property

- x^{8} \times x^{2} - (- x^{8} \times 6 i x) - (- x^{8} \times 9) + 4 x^{7} \times x^{2} - 4 x^{7} \times 6 i x - 4 x^{7} \times 9 - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the terms

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- x^{10} - (- x^{8} \times 6 i x) - (- x^{8} \times 9) + 4 x^{7} \times x^{2} - 4 x^{7} \times 6 i x - 4 x^{7} \times 9 - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the terms

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- x^{10} - (- 6 i x^{9}) - (- x^{8} \times 9) + 4 x^{7} \times x^{2} - 4 x^{7} \times 6 i x - 4 x^{7} \times 9 - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Use the commutative property to reorder the terms

- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{7} \times x^{2} - 4 x^{7} \times 6 i x - 4 x^{7} \times 9 - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the terms

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- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{9} - 4 x^{7} \times 6 i x - 4 x^{7} \times 9 - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the terms

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- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{9} - 24 i x^{8} - 4 x^{7} \times 9 - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the numbers

- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{9} - 24 i x^{8} - 36 x^{7} - 3 x^{6} \times x^{2} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the terms

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- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{9} - 24 i x^{8} - 36 x^{7} - 3 x^{8} - (- 3 x^{6} \times 6 i x) - (- 3 x^{6} \times 9)

Multiply the terms

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- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{9} - 24 i x^{8} - 36 x^{7} - 3 x^{8} - (- 18 i x^{7}) - (- 3 x^{6} \times 9)

Multiply the numbers

- x^{10} - (- 6 i x^{9}) - (- 9 x^{8}) + 4 x^{9} - 24 i x^{8} - 36 x^{7} - 3 x^{8} - (- 18 i x^{7}) - (- 27 x^{6})

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^{10} + 6 i x^{9} + 9 x^{8} + 4 x^{9} - 24 i x^{8} - 36 x^{7} - 3 x^{8} + 18 i x^{7} + 27 x^{6}

Collect like terms by calculating the sum or difference of their coefficients

- x^{10} + (6 i + 4) x^{9} + 9 x^{8} - 24 i x^{8} - 36 x^{7} - 3 x^{8} + 18 i x^{7} + 27 x^{6}

Subtract the terms

More Steps

- x^{10} + (6 i + 4) x^{9} + (6 - 24 i) x^{8} - 36 x^{7} + 18 i x^{7} + 27 x^{6}

Solution

- x^{10} + (6 i + 4) x^{9} + (6 - 24 i) x^{8} + (- 36 + 18 i) x^{7} + 27 x^{6}

Simplify the expression