Q. 2 F4.2( 16 Votes )

# Factorize the fol

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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