Factorize:

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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