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Popular >

expand (-a-b)^3

Solution

expand

(- a - b)^{3}

Solution

- a^{3} - 3 a^{2} b - 3 a b^{2} - b^{3}

Solution steps

(- a - b)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

= - a^{3} - 3 a^{2} b - 3 a b^{2} - b^{3}

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Frequently Asked Questions (FAQ)

What is expand (-a-b)^3 ?
The solution to expand (-a-b)^3 is -a^3-3a^2b-3ab^2-b^3