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Question
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Solution
We have,
`((4x)/5 + y/4)((4x)/5 + (3y)/4) = ((4x)/5)^2 + (y/4 + (3y)/4) (4x)/5 + y/4 xx (3y)/4` ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]
= `16/25x^2 + (4xy)/5 + (3y^2)/16`
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