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Question
Factorise the following:
a2x – a2y – 9x + 9y
Sum
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Solution
a2x – a2y – 9x + 9y
Factor out a2 from the expression
a2 · (x – y) – 9x + 9y
Factor out –9 from the expression
a2 · (x – y) – 9(x – y)
Factor out x – y from the expression
(x – y) · (a2 – 9)
Use a2 – b2 = (a – b)(a + b) to factor the expression
(x – y) · (a – 3) · (a + 3)
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