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Question
Factorise the following by grouping the terms:
8x3 - 24x2y + 54xy2 -162y3
Sum
Solution
8x3 - 24x2y + 54xy2 - 162y3
= (8x3 - 24x2y) + (54xy2 - 62y3)
= 8x2(x - 3y) + 54y2(x - 3y)
= (x - 3y)(8x2 + 54y2).
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Factorisation by Grouping
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