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Question

Subtract the rational expression: x2+4x+4x+2−x+2x−2

A
x6x2
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B
x+6x2
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C
x2x6x2
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D
x2x6x+2
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Solution

The correct option is B x2x6x2
Here, x2+4x+4x+2x+2x2

Factor of x2+4x+4=(x+2)(x+2)

= (x+2)(x+2)x+2x+2x2

Cross multiplying, we get

= (x+2)(x2)(x+2)x2

= x24x2x2

= x2x6x2

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