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