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Question
Factorise the following:
5 - 4(a - b) - 12(a - b)2
Sum
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Solution
5 - 4(a - b) - 12(a - b)2
= 5 - 10(a - b) + 6(a - b) - 12(a - b)2
= 5[1 - 2(a - b)] + 6(a - b)[1 - 2(a - b)]
= [5 + 6(a - b)][1 - 2(a - b)]
= (5 + 6a - 6b)(1 - 2a + 2b).
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