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Expand the following, using suitable identities. (45a+54b)2 - Mathematics

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Question

Expand the following, using suitable identities.

`(4/5a + 5/4b)^2`

Sum

Solution

We have,

`(4/5a + 5/4b)^2 = (4/5 a)^2 + (5/4b)^2 + 2 xx 4/5a xx 5/4 b`   ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]

= `16/25a^2 + 25/16b^2 + 2ab`

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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. (iii) | Page 232

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