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Question
Factorise the following:
5(3x + y)2 + 6(3x + y) - 8
Sum
Solution
5(3x + y)2 + 6(3x + y) - 8
= 5(3x + y)2 + 10(3x + y) - 4(3x + y) - 8
= 5(3x + y)(3x + y + 2) - 4(3x + y + 2)
= (3x + y + 2)[5(3x + y) - 4].
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