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Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2. 4y2 – 12y + 9 - Mathematics

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Question

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

4y2 – 12y + 9

Sum

Solution

We have,

4y2 – 12y + 9 = (2y)2 – 2 · 2y · 3 + 32

= (2y – 3)2

= (2y – 3)(2y – 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 90. (ix) | Page 234
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