Factorize $125 x^{3} - 27 y^{3} - 225 x^{2} y + 135 x y^{2}$

Open in App

Solution

$125 x^{3} - 27 y^{3} - 225 x^{2} y + 135 x y^{2} = (5 x)^{3} - (3 y)^{3} - 3 \times (5 x)^{2} \times (3 y) + 3 \times 5 x \times (3 y)^{2} = (5 x - 3 y)^{3} = (5 x - 3 y) (5 x - 3 y) (5 x - 3 y)$

Suggest Corrections

Similar questions

(5 x + 3 y)^{3}

125 x^{3} + 225 x^{2} y + 135 x y^{2} + 27 y^{3}

125 x^{3} + 27 y^{3} + 8 z^{3} - 90 x y z

8 x^{3} + 36 x^{2} y + 54 x y^{2} + 27 y^{3}

Join BYJU'S Learning Program