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

Open in App

Solution

$x^{3} - 8 y^{3} + 27 z^{3} + 18 x y z = (x)^{3} + (- 2 y)^{3} + (3 z)^{3} - 3 \times x \times (- 2 y) (3 z) = (x - 2 y + 3 z) (x^{2} + 4 y^{2} + 9 z^{2} + 2 x y + 6 y z - 3 z x)$

Suggest Corrections

Similar questions

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

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

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

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

Join BYJU'S Learning Program