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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 90. (x) | Page 234
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