Factorize completely \(y^3 -4xy + xy^3 - 4y\)
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Correct Answer: Option C
Explanation:
\(y^3 -4xy + xy^3 - 4y \)
= \(y^3(1 + x) - 4y(1 + x)
\((y^3 - 4y)(1 + x) = (y^3(1 + x) - 4y(1 + x))\)
∴ = \(y(1 + x)(y + 2)(y - 2)\)
\(y^3 -4xy + xy^3 - 4y \)
= \(y^3(1 + x) - 4y(1 + x)
\((y^3 - 4y)(1 + x) = (y^3(1 + x) - 4y(1 + x))\)
∴ = \(y(1 + x)(y + 2)(y - 2)\)