What is expand a*((a-b)*(a+2b)) ?

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

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

expand

a \cdot ((a - b) \cdot (a + 2 b))

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

Solution steps

a ((a - b) (a + 2 b))

Remove parentheses:

(a) = a

= a (a - b) (a + 2 b)

Expand

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

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

Expand

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

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

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