$(x + y)^{3} - (x - y)^{3} = 6 x^{2} y + 2 y^{3}$

True

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False

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Solution

The correct option is A
True

Expanding the identities and solving them

$(x + y)^{3} - (x - y)^{3} =$

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

$= 2 y^{3} + 6 x^{2} y$

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