Question

Factorise the following by grouping the terms:
j) $8x^3–24x^{2}y+54x{y}^2–162y^3$

Answer 1

Given: $8x^3–24x^{2}y+54x{y}^2–162y^3$

On grouping the terms, we get,

$=(8x^3–24x^{2}y)+(54x{y}^2–162y^3)$

$=8x^2(x–3y)+54y^2(x–3y)$

$=(x–3y)(8x^2+54y^2)$

Hence, the answer is $(x–3y)(8x^2+54y^2)$.