Question:
Factorize:
$9-a^{2}+2 a b-b^{2}$
Solution:
$9-a^{2}+2 a b-b^{2}=9-\left(a^{2}-2 a b+b^{2}\right)$
$=3^{2}-(a-b)^{2}$
$=[3-(a-b)][3+(a-b)]$
$=(3-a+b)(3+a-b)$
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