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$x^{3} - 8 y^{3} + 27 z^{3} + 18 x y z$ .

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Solution

$x^{3} - 8 y^{3} + 27 z^{3} + 18 x y z$

$= (x)^{3} + (- 2 y)^{3} + (3 z)^{3} - 3 \times x \times - 2 y \times 3 z$

$= (x - 2 y + 3 z) (x^{2} + 4 y^{2} + 9 z^{2} - 2 x y - 6 y z + 3 z x)$

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Similar questions

Factorize $x^{3} - 8 y^{3} + 27 z^{3} + 18 x y z$

If $x + 2 y + 3 z = 0$ then $x^{3} + 8 y^{3} + 27 z^{3}$ = _____________

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8 x^{3} + y^{3} + 27 z^{3} - 18 x y z

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