Question

Factorise the following by grouping the terms:
8x³ - 24x²y + 54xy² -162y³

Answer 1

8x³ - 24x²y + 54xy² - 162y³
= (8x³ - 24x²y) + (54xy² - 62y³)
= 8x²(x - 3y) + 54y²(x - 3y)
= (x - 3y)(8x² + 54y²).