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Question
Factorise the following:
6x2 + 16xy + 8y2
Solution
Product = 6 × 8 = 48, sum = 16
Split the middle term as 4xy and 12xy
6x2 + 16xy + 8y2 = 6x2 + 12xy + 4xy + 8y2
= 6x(x + 2y) + 4y(x + 2y)
= (x + 2y)(6x + 4y)
= 2(x + 2y)(3x + 2y)
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