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