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Question
Factorise the following:
(x + 4)2 - 5xy - 20y - 6y2
Solution
(x + 4)2 - 5xy - 20y - 6y2
= (x + 4)2 - 5y(x + 4) - y2
= (x + 4)2 - 6y(x + 4) + y(x + 4) - 6y2
= (x + 4)(x + 4 - 6y) + y(x + 4 - 6y)
= (x + 4 - 6y)(x + 4 + y)
= (x - 6y + 4)(x + y + 4).
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