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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