Question

Factorise the expressions using (a+b)3 = a3 +3a2 b+3ab2+b3

identity : 27p3 + 54p2q + 36pq2 + 8q3

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Answer 1

Ans:- 27p3 + 54p2q + 36pq2 + 8q3

= (3p)^3 + (2q)^3 + 3 × 3p × 2q(3p + 2q) (by using identity (a+b)3 = a3 + b^3 + 3ab(a+b)

= (3p + 2q)^3

= (3p + 2q)(3p + 2q)(3p + 2q)

here is the answer of your question

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