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Expand the following ( x - y + 2 z )^3

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$\because (a+b+c)^3=a^{3}+b^{3}+c^{3}+3(a+b)(b+c)(c+a)\\ ( x - y + 2 z )^3 \\ a = x, b = -y, c = 2z \\ ( x - y + 2 z )^3 = x^{3}+(-y)^{3}+(2z)^{3}+3(x-y)(-y + 2z)(2z+x) \\ =x^{3}-y^{3}+8z^{3}+3(x-y)(2z-y)(2z+x)$

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Ravindra Pindel

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