Solve -4x-5(1-x^41)2(1-x^44)

Question

Simplify the expression

- 4 x - 10 + 50 x^{4} - 40 x^{8}

Evaluate

- 4 x - 5 (1 - x^{4} \times 1) \times 2 (1 - x^{4} \times 4)

Any expression multiplied by 1 remains the same

- 4 x - 5 (1 - x^{4}) \times 2 (1 - x^{4} \times 4)

Use the commutative property to reorder the terms

- 4 x - 5 (1 - x^{4}) \times 2 (1 - 4 x^{4})

Multiply the terms

- 4 x - 10 (1 - x^{4}) (1 - 4 x^{4})

Solution

More Steps

Calculate

- 10 (1 - x^{4}) (1 - 4 x^{4})

Simplify

More Steps

Evaluate

- 10 (1 - x^{4})

Apply the distributive property

- 10 \times 1 - (- 10 x^{4})

Any expression multiplied by 1 remains the same

- 10 - (- 10 x^{4})

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

- 10 + 10 x^{4}

(- 10 + 10 x^{4}) (1 - 4 x^{4})

Apply the distributive property

- 10 \times 1 - (- 10 \times 4 x^{4}) + 10 x^{4} \times 1 - 10 x^{4} \times 4 x^{4}

Any expression multiplied by 1 remains the same

- 10 - (- 10 \times 4 x^{4}) + 10 x^{4} \times 1 - 10 x^{4} \times 4 x^{4}

Multiply the numbers

- 10 - (- 40 x^{4}) + 10 x^{4} \times 1 - 10 x^{4} \times 4 x^{4}

Any expression multiplied by 1 remains the same

- 10 - (- 40 x^{4}) + 10 x^{4} - 10 x^{4} \times 4 x^{4}

Multiply the terms

More Steps

Evaluate

10 x^{4} \times 4 x^{4}

Multiply the numbers

40 x^{4} \times x^{4}

Multiply the terms

40 x^{8}

- 10 - (- 40 x^{4}) + 10 x^{4} - 40 x^{8}

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

- 10 + 40 x^{4} + 10 x^{4} - 40 x^{8}

Add the terms

More Steps

Evaluate

40 x^{4} + 10 x^{4}

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

(40 + 10) x^{4}

Add the numbers

50 x^{4}

- 10 + 50 x^{4} - 40 x^{8}

- 4 x - 10 + 50 x^{4} - 40 x^{8}

Show Solution

Factor the expression

- 2 (2 x + 5 - 25 x^{4} + 20 x^{8})

Evaluate

- 4 x - 5 (1 - x^{4} \times 1) \times 2 (1 - x^{4} \times 4)

Any expression multiplied by 1 remains the same

- 4 x - 5 (1 - x^{4}) \times 2 (1 - x^{4} \times 4)

Use the commutative property to reorder the terms

- 4 x - 5 (1 - x^{4}) \times 2 (1 - 4 x^{4})

Multiply the terms

- 4 x - 10 (1 - x^{4}) (1 - 4 x^{4})

Simplify

More Steps

Evaluate

- 10 (1 - x^{4}) (1 - 4 x^{4})

Simplify

More Steps

Evaluate

- 10 (1 - x^{4})

Apply the distributive property

- 10 \times 1 - 10 (- x^{4})

Any expression multiplied by 1 remains the same

- 10 - 10 (- x^{4})

Multiply the terms

- 10 + 10 x^{4}

(- 10 + 10 x^{4}) (1 - 4 x^{4})

Apply the distributive property

- 10 \times 1 - 10 (- 4 x^{4}) + 10 x^{4} \times 1 + 10 x^{4} (- 4 x^{4})

Any expression multiplied by 1 remains the same

- 10 - 10 (- 4 x^{4}) + 10 x^{4} \times 1 + 10 x^{4} (- 4 x^{4})

Multiply the terms

More Steps

Evaluate

- 10 (- 4)

Multiplying or dividing an even number of negative terms equals a positive

10 \times 4

Multiply the numbers

40

- 10 + 40 x^{4} + 10 x^{4} \times 1 + 10 x^{4} (- 4 x^{4})

Any expression multiplied by 1 remains the same

- 10 + 40 x^{4} + 10 x^{4} + 10 x^{4} (- 4 x^{4})

Multiply the terms

More Steps

Evaluate

10 x^{4} (- 4 x^{4})

Multiply the numbers

- 40 x^{4} \times x^{4}

Multiply the terms

- 40 x^{8}

- 10 + 40 x^{4} + 10 x^{4} - 40 x^{8}

- 4 x - 10 + 40 x^{4} + 10 x^{4} - 40 x^{8}

Add the terms

More Steps

Evaluate

40 x^{4} + 10 x^{4}

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

(40 + 10) x^{4}

Add the numbers

50 x^{4}

- 4 x - 10 + 50 x^{4} - 40 x^{8}

Solution

- 2 (2 x + 5 - 25 x^{4} + 20 x^{8})

Show Solution