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Question
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
Sum
Solution
We have,
2x3 + 24x2 + 72x
= 2x(x2 + 12x + 36)
= 2x(x2 + 2 · 6 · x + 62)
= 2x(x + 6)2
= 2x(x + 6)(x + 6)
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]
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