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Question
Factorise the following expressions using (a + b)3 = a3 + 3a2b + 3ab2 + b3 identity
27p3 + 54p2q + 36pq2 + 8q3
Sum
Solution
27p3 + 54p2q + 36pq2 + 8q3
= (3p)3 + 3(3p)2(2q) + 3(3p)(2q)2 + (2q)3
= (3p + 2q)3
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Factorise Using the Identity (a + b)3
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