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Expand the following, using suitable identities. (23x-32y)2 - Mathematics

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Question

Expand the following, using suitable identities.

`(2/3x - 3/2y)^2`

Sum

Solution

We have,

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

= `4/9 x^2 + 9/4 y^2 - 2xy`

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 232]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 85. (iv) | Page 232

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