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Popular >

expand (-x-2)^3

Solution

expand

(- x - 2)^{3}

Solution

- x^{3} - 6 x^{2} - 12 x - 8

Solution steps

(- x - 2)^{3}

Apply Perfect Cube Formula:

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

(- x - 2)^{3} = (- x)^{3} - 3 (- x)^{2} \cdot 2 + 3 (- x) \cdot 2^{2} - 2^{3}

= (- x)^{3} - 3 (- x)^{2} \cdot 2 + 3 (- x) \cdot 2^{2} - 2^{3}

Simplify

(- x)^{3} - 3 (- x)^{2} \cdot 2 + 3 (- x) \cdot 2^{2} - 2^{3} : - x^{3} - 6 x^{2} - 12 x - 8

= - x^{3} - 6 x^{2} - 12 x - 8

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Frequently Asked Questions (FAQ)

What is expand (-x-2)^3 ?
The solution to expand (-x-2)^3 is -x^3-6x^2-12x-8