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Question
Simplify:
`(3/4x - 4/3y)^2 + 2xy`
Simplify
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Solution
We have,
`(3/4x - 4/3y)^2 + 2xy = (3/4x)^2 + (4/3y)^2 - 2 xx 3/4x xx 4/3y + 2xy` ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]
= `9/16x^2 + 16/9y^2 - 2xy + 2xy`
= `9/16x^2 + 16/9y^2`
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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 231]
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