Find: $x^{3} + y^{3} - (x + y) (x^{2} - x y + y^{2})$ .

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Solution

To find: $x^{3} + y^{3} - (x + y) (x^{2} - x y + y^{2})$ .
$=$ $x^{3} + y^{3} - x^{3} + x^{2} y - x^{2} y - x^{2} y + x y^{2} - y^{3}$
$= 0$ .
Hence, the required answer is $0$ .

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