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Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2. x2 + 14x + 49 - Mathematics

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Question

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

x2 + 14x + 49

Sum

Solution

We have,

x2 + 14x + 49

= x2 + 2 · 7 · x + 72

= (x + 7)2

= (x + 7)(x + 7)

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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. (iii) | Page 234

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