What is expand (-2a-5b)^3 ?

The solution to expand (-2a-5b)^3 is -8a^3-60a^2b-150ab^2-125b^3

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expand (-2a-5b)^3

expand

(- 2 a - 5 b)^{3}

- 8 a^{3} - 60 a^{2} b - 150 a b^{2} - 125 b^{3}

Solution steps

(- 2 a - 5 b)^{3}

Apply Perfect Cube Formula:

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

(- 2 a - 5 b)^{3} = (- 2 a)^{3} - 3 (- 2 a)^{2} \cdot 5 b + 3 (- 2 a) (5 b)^{2} - (5 b)^{3}

= (- 2 a)^{3} - 3 (- 2 a)^{2} \cdot 5 b + 3 (- 2 a) (5 b)^{2} - (5 b)^{3}

Simplify

(- 2 a)^{3} - 3 (- 2 a)^{2} \cdot 5 b + 3 (- 2 a) (5 b)^{2} - (5 b)^{3} : - 8 a^{3} - 60 a^{2} b - 150 a b^{2} - 125 b^{3}

= - 8 a^{3} - 60 a^{2} b - 150 a b^{2} - 125 b^{3}

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

15 x^{- 1} y^{7} z^{2}

(a - 6)^{4}

(x - 2 y)^{6}

\frac{5}{15 b - b}

What is expand (-2a-5b)^3 ?
The solution to expand (-2a-5b)^3 is -8a^3-60a^2b-150ab^2-125b^3