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Use a Suitable Identity to Get the Following Products. (Xby2 + (3y)By4)(Xby2 + (3y)By4)

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Question

Use a suitable identity to get the following products.

`(x/2 + (3y)/4)(x/2 + (3y)/4)`

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Solution

`(x/2 + (3y)/4)(x/2 + (3y)/4)` = `(x/2 + (3y)/4)^2`

= `(x/2)^2 + 2(x/2)((3y)/4) + ((3y)/4)^2`    [(a + b)2 = a2 + 2ab + b2]

= `x^2/4 + (3xy)/4 + (9y^2)/16`

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