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Question
Factorise the following:
2a3 – a2 – 8a + 4
Sum
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Solution
2a3 – a2 – 8a + 4
Factor out a2 from the expression
a2 · (2a – 1) – 8a + 4
Factor out –4 from the expression
a2 · (2a – 1) – 4(2a – 1)
Factor out 2a – 1 from the expression
(2a – 1) · (a2 – 4)
Use a2 – b2 = (a – b)(a + b) to factor the expression
(2a – 1) · (a – 2) · (a + 2)
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