Answer
$a^{2}b^{2}(a^{5}b^{4}-a+b^{3}-1)$
Work Step by Step
$a^{7}b^{6}-a^{3}b^{2}+a^{2}b^{5}-a^{2}b^{2}$
Take out common factor $a^{2}b^{2}$:
$a^{7}b^{6}-a^{3}b^{2}+a^{2}b^{5}-a^{2}b^{2}=a^{2}b^{2}(a^{5}b^{4}-a+b^{3}-1)$
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