Question:
Factorize each of the following expression:
a2 − b2 + a − b
Solution:
$a^{2}-b^{2}+a-b=\left(a^{2}-b^{2}\right)+(a-b) \quad$ [Grouping the terms]
$=(a+b)(a-b)+(a-b)$
$=(a-b)(a+b+1) \quad[$ Taking out the common factor $(a-b)]$
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