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Question
Factorise the following:
7a2x – 7x + a2p – p
Sum
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Solution
7a2x – 7x + a2p – p
Factor out 7x from the expression
7x · (a2 – 1) + a2p – p
Factor out p from the expression
7x · (a2 – 1) + p · (a2 – 1)
Factor out a2 – 1 from the expression
(a2 – 1) · (7x + p)
Use a2 – b2 = (a – b)(a + b) to factor the expression
(a – 1) · (a + 1) · (7x + p)
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