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Expand the following, using suitable identities. (2a3+b3)(2a3-b3) - Mathematics

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Question

Expand the following, using suitable identities.

`((2a)/3 + b/3)((2a)/3 - b/3)`

Sum

Solution

We have,

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

= `4/9a^2 - 1/9b^2`

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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. (xi) | Page 232

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