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Perform the indicated operation: (x^3+x^2+x/x-2x^2) / (x^3-1/1-3x+2x^2)Show step by...

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spock5 | Student, Undergraduate | (Level 1) Honors

Posted May 19, 2012 at 12:06 PM via web

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Perform the indicated operation: (x^3+x^2+x/x-2x^2) / (x^3-1/1-3x+2x^2)

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thilina-g | College Teacher | (Level 1) Educator

Posted May 19, 2012 at 12:43 PM (Answer #1)

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`((x^3+x^2+x)/(x-2x^2))/((x^3-1)/(1-3x+2x^2))`

We can simplify this by separating it into factors.

`= ((x(x^2+x+1))/(x(1-2x)))/(((x-1)(x^2+x+1))/((1-2x)(1-x)))`

Therefore this simplifies into,

`= -(x^2+x+1)/(1-2x) xx (1-2x)/(x^2+x+1)`

 = -1

 

Therefore,

`((x^3+x^2+x)/(x-2x^2))/((x^3-1)/(1-3x+2x^2)) = -1`

 

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