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Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2. x24+2x+4 - Mathematics

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Question

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

`x^2/4 + 2x + 4`

Sum

Solution

We have,

`x^2/4 + 2x + 4`

= `(x/2)^2 + 2 * x/2 * 2 + 2^2`

= `(x/2 + 2)^2`

= `(x/2 + 2)(x/2 + 2)`

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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. (xvi) | Page 234

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