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Simplify: 4x(6-x) / 2x^2(x-6)any help is greatly appreciated!(:

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teresaaa95 | Student, Undergraduate | (Level 3) eNoter

Posted February 22, 2012 at 11:55 PM via web

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Simplify: 4x(6-x) / 2x^2(x-6)

any help is greatly appreciated!(:

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beckden | High School Teacher | (Level 1) Educator

Posted February 23, 2012 at 12:40 AM (Answer #1)

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`(4x(6-x))/(2x^2(x-6))=(2*2x(-1(x-6)))/(2x*x(x-6))`

Using `6 - x = -1(x-6)` and factoring `4x=2*2x` and `2x^2=2x*x`

`(4x(6-x))/(2x^2(x-6))=-2/x` Cancelling (x-6) and 2x

So our final answer is `-2/x`

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