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Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2. 4x2 + 12x + 9 - Mathematics

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Question

Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2

4x2 + 12x + 9

Sum

Solution

We have,

4x2 + 12x + 9

= (2x)2 + 2 · 2x · 3 + 32

= (2x + 3)2

= (2x + 3)(2x + 3)

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 234]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 89. (ix) | Page 234

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