Question
Multiply: $\left(a^2+2 b^2\right)$ and $(5a – 3b)$

Answer

$\left(a^2+2 b^2\right) \times(5 a-3 b)=a^2(5 a-3 b)+2 b^2(5 a-3 b)$
$=5 a^3-3 a^2 b+10 a b^2-6 b^3$

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