$I f x = 16, y = - 7, z = - 9, x^{3} + y^{3} + z^{3} =$ _____________.

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Solution

$(x + y + z) (x^{2} + y^{2} + z^{2} - x y - y z - z x) = x^{3} + y^{3} + z^{3} - 3 x y z . H e r e, x + y + z = 0. S o, x^{3} + y^{3} + z^{3} = 3 x y z .$

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