Factorize by taking out the common factors:
$2 (x + y)^{3} - 6 (x + y)$

2 (x + y) (x^{2} - 2 x y + y^{2} - 1)

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2 (x - y) (x^{2} - 2 x y + y^{2} - 4)

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2 (x - y) (x^{2} + 2 x y + y^{2} - 3)

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2 (x + y) (x^{2} + 2 x y + y^{2} - 3)

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Solution

The correct option is D $2 (x + y) (x^{2} + 2 x y + y^{2} - 3)$
$2 (x + y)^{3} - 6 (x + y)$
$= 2 (x + y) [(x + y)^{2} - 3]$
$= 2 (x + y) (x^{2} + 2 x y + y^{2} - 3)$

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