Factorize:

Question:

Factorize:

$9-a^{2}+2 a b-b^{2}$

 

Solution:

$9-a^{2}+2 a b-b^{2}=9-\left(a^{2}-2 a b+b^{2}\right)$

$=3^{2}-(a-b)^{2}$

$=[3-(a-b)][3+(a-b)]$

$=(3-a+b)(3+a-b)$

 

Leave a comment