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Question
Expand the following, using suitable identities.
`((2x)/3 - 2/3)((2x)/3 + (2a)/3)`
Solution
We have,
`((2x)/3 - 2/3)((2x)/3 + (2a)/3) = ((2x)/3)^2 + ((-2)/3 + (2a)/3)(2x)/3 + ((-2)/3 xx (2a)/3)` ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]
= `(4x^2)/9 + (2a - 2)/3 xx 2/3x - 4/9a`
= `(4x^2)/9 + 4/9(a - 1)x - 4/9a`
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