Factors of (x+y)3-(x3+y3)

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

The expansion of ${(x + y)}^{3}$ is

(x - y)^{3}

The expansion of ${(x + y)}^{3}$ is $x^{3} + y^{3} + 3 x^{2} y - 3 x y^{2}$

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

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