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

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Question

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

9x2 – 12x + 4

Sum

Solution

We have,

9x2 – 12x + 4 = (3x)2 – 2 · 3x · 2 + 22

= (3x – 2)2

= (3x – 2)(3x – 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. (viii) | Page 234
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