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Question
Factorise the following:
a2 – 25a + 84
Sum
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Solution
a2 – 25a + 84
Write –25a as a difference
a2 – 4a – 21a + 84
Factor out ‘a’ from the expression
a · (a – 4) – 21a + 84
Factor out –21 from the expression
a · (a – 4) – 21(a – 4)
Factor out a – 4 from the expression
(a – 4) · (a – 21)
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