What is expand (a-2b)(a^2-2ab+b^2) ?

The solution to expand (a-2b)(a^2-2ab+b^2) is a^3+5ab^2-2b^3-4a^2b

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expand (a-2b)(a^2-2ab+b^2)

expand

(a - 2 b) (a^{2} - 2 ab + b^{2})

a^{3} + 5 a b^{2} - 2 b^{3} - 4 a^{2} b

Solution steps

(a - 2 b) (a^{2} - 2 ab + b^{2})

Distribute parentheses

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

Simplify

a a^{2} + a (- 2 ab) + a b^{2} - 2 b a^{2} - 2 b (- 2 ab) - 2 b b^{2} : a^{3} + 5 a b^{2} - 2 b^{3} - 4 a^{2} b

= a^{3} + 5 a b^{2} - 2 b^{3} - 4 a^{2} b

- 4 \cdot - 49

cos (3 x) cos (x) - sin (3 x) sin (x)

2^{\frac{1}{0}}

1 6^{7}

2 x 5^{6} + 7 x 5^{4} + 3 x 5^{2} + 6

What is expand (a-2b)(a^2-2ab+b^2) ?
The solution to expand (a-2b)(a^2-2ab+b^2) is a^3+5ab^2-2b^3-4a^2b