Q17 of 274 Page 64

Factorize:

9 – a2 + 2ab – b2

We have,



= [9 – (a2 – 2ab + b)2]


We can also write the expression as:


= [(3)2 – (a – b)2]


Now,


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



Hence,


The given expression can be factorized as:


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