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Question
Factorise the following expressions using (a – b)3 = a3 – 3a2b + 3ab2 – b3 identity
8m3 – 60m2n + 150mn2 – 125n3
Sum
Solution
8m3 – 60m2n + 150mn2 – 125n3
= (2m)3 – 3(2m)2(5) + 3(2m)(5n)2 – (5n)3
= (2m – 5n)3
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Factorise Using the Identity (a – b)3
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