Evaluate the product of $a^{2} b^{2} (a b^{2} + a^{2} b)$

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Solution

The given polynomials are $a^{2} b^{2}$ and $a b^{2} + a^{2} b$ we multiply them as follows:

$(a^{2} b^{2}) (a b^{2} + a^{2} b) = (a^{2} b^{2} \times a b^{2}) + (a^{2} b^{2} \times a^{2} b) = a^{3} b^{4} + a^{4} b^{3}$

Hence, $(a^{2} b^{2}) (a b^{2} + a^{2} b) = a^{3} b^{4} + a^{4} b^{3}$ .

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