Factorize completely (y^3 -4xy + xy^3 – 4y)
-
A.
(y + xy)(y + 2)(y – 2) -
B.
(y – xy)(y – 2) -
C.
y(1 + x)(y + 2)(y -2) -
D.
y(1 – x)(y + 2)(y – 2)
Correct Answer: Option C
Explanation
(y^3 -4xy + xy^3 – 4y )
= (y^3(1 + x) – 4y(1 + x)
((y^3 – 4y)(1 + x) = (y^3(1 + x) – 4y(1 + x)))
∴ = (y(1 + x)(y + 2)(y – 2))