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Question
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify
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Solution
We have,
`(7/9 a + 9/7 b)^2 - ab = (7/9 a)^2 + (9/7 b)^2 + 2 xx 7/9 a xx 9/7 b - ab` ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= `49/81 a^2 + 81/49 b^2 + 2ab - ab`
= `49/81 a^2 + ab + 81/49 b^2`
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 231]
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