Q. 2 F4.2( 16 Votes )

Factorize the fol

Answer :

Put (y2 + 5y) = a

a (a -2) – 24


a2 -2a – 24


a2 -6a + 4a – 24


a (a – 6) + 4 (a – 6)


(a + 4) (a – 6)


But a = (y2 + 5y)


((y2 + 5y) + 4) ((y2 + 5y) – 6)


(y2 + 5y + 4) (y2 + 5y – 6)


(y2 + 4y + y + 4) (y2 + 6y - y – 6)


(y (y + 4) + 1 (y + 4)) (y (y + 6) – 1 (y + 6))


(y + 4) (y + 1) (y + 6) (y – 1)


Therefore, the factorized form = (y + 4) (y + 1) (y + 6) (y – 1)


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