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Popular >

expand (-1-x)^3

Solution

expand

(- 1 - x)^{3}

Solution

- 1 - 3 x - 3 x^{2} - x^{3}

Solution steps

(- 1 - x)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(- 1 - x)^{3} = (- 1)^{3} - 3 (- 1)^{2} x + 3 (- 1) x^{2} - x^{3}

= (- 1)^{3} - 3 (- 1)^{2} x + 3 (- 1) x^{2} - x^{3}

Simplify

(- 1)^{3} - 3 (- 1)^{2} x + 3 (- 1) x^{2} - x^{3} : - 1 - 3 x - 3 x^{2} - x^{3}

= - 1 - 3 x - 3 x^{2} - x^{3}

Popular Examples

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Frequently Asked Questions (FAQ)

What is expand (-1-x)^3 ?
The solution to expand (-1-x)^3 is -1-3x-3x^2-x^3