Numbers & Algebra

1:

 HCF of y3 - 4y and 4y (y3 + 8) is

A.

y(y + 2)

B.

y - 2

C.

2 (y + 2)

D.

(y + 2)(y2- 2y + 4)

 

Answer : A

Explanation :

y3-4y = y(y2-4)
= y(y-2)(y+2)
4y(y3+8)
=4y(y+2)(y2-2y+4)
∴ HCF = y(y + 2).

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Option: A

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