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Simplify: (34x-43y)2+2xy - Mathematics

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Question

Simplify:

`(3/4x - 4/3y)^2 + 2xy`

Sum

Solution

We have, 

`(3/4x - 4/3y)^2 + 2xy = (3/4x)^2 + (4/3y)^2 - 2 xx 3/4x xx 4/3y + 2xy`  ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]

= `9/16x^2 + 16/9y^2 - 2xy + 2xy` 

= `9/16x^2 + 16/9y^2`

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 231]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 84. (iv) | Page 231

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