Q. 95.0( 2 Votes )

Factorize each of

Answer :

In order to factorize the given expression, we find to find two numbers p and q such that:

p + q = 14, pq = 48


Clearly,


8 + 6 = 14, 8 (6) = 48


Therefore, split (14a) as 8a + 6a


Therefore,


a2 + 14a + 48 = a2 + 8a + 6a + 48


= a (a + 8) + 6 (a + 8)


= (a + 6) (a + 8)


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