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Question
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Sum
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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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