Factorize:

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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