Q20 of 274 Page 64

Factorize:

x2 – y2 + 6y – 9

We have,



= [x2 – (y2 – 2(y)(3) + 32]


We can also write the expression as:


= [(x)2 – (y – 3)2]


Now,


Using identity: a2 – b2 = (a – b)(a + b)



Hence,


The given expression can be factorized as:


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