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Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2. 9x2+2xy+y29 - Mathematics

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Question

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

`9x^2 + 2xy + y^2/9`

Sum

Solution

We have,

`9x^2 + 2xy + y^2/9`

= `(3x)^2 + 2 * 3x * y/3 + (y/3)^2`

= `(3x + y/3)^2`

= `(3x + y/3)(3x + y/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 89. (xvii) | Page 234

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