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Question
Factorise the following:
2x3 + 5x2y - 12xy2
Sum
Solution
2x3 + 5x2y - 12xy2
= 2x3 + 8x2y - 3x2y - 12xy2
= 2x2(x + 4y) - 3xy(x + 4y)
= (x + 4y)(2x2 - 3xy)
= (x + 4y)x(2x - 3y)
= x(x + 4y)(2x - 3y).
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