Question:
Factorize:
$(a+b)^{3}-a-b$
Solution:
$(a+b)^{3}-a-b=(a+b)^{3}-(a+b)$
$=(a+b)\left[(a+b)^{2}-1\right]$
$=(a+b)\left[(a+b)^{2}-1^{2}\right]$
$=(a+b)(a+b-1)(a+b+1)$
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