Multiply $a^{2}$ with $(a^{3} + 3 a^{2} b + b^{3} + 3 a b^{2})$ .

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Solution

By Indices Law,
$a^{m} \times a^{n} = a^{m + n}$
therefore,
$= (a^{3} + 3 a^{2} b + b^{3} + 3 a b^{2}) \times a^{2}$
$= a^{5} + 3 a^{4} b + a^{2} b^{3} + 3 a^{3} b^{2}$

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