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Question
Factorise:
5x2 - y2 - 4xy + 3x - 3y
Solution
5x2 - y2 - 4xy + 3x - 3y
= x2 + 4x2 - y2 - 4xy + 3x - 3y
= (x2 - y2) + (4x2 - 4xy) + (3x - 3y)
= (x - y)(x + y) + 4x (x - y) + 3(x - y)
= (x - y)[(x + y) + 4x + 3]
= (x - y)(x + y + 4x + 3)
= (x - y)(5x + y + 3).
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