Evaluate $| x^{3} + y^{3} - 3 x y z |$ when $x = - 2, y = - 1$ and $z = 3$ .

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Solution

$x^{3} + y^{3} - 3 x y z = (- 2)^{3} + (- 1)^{3} - 3 \times (- 2) \times (- 1) \times 3 = - 8 - 1 - 18 = - 27$
$| x^{3} + y^{3} - 3 x y z | = 27$

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