Q14 of 274 Page 64

Factorize:

108a2 –3(b – c)2

We have,



= 3[36a2 – (b – c)2]


We can also write the expression as:


= 3[(6a)2 – (b – c)2]


Now,


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



Hence,


The given expression can be factorized as:


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