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What is the simplified form of x minus 4 over x squared minus x minus 12 • x minus 4...

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DeadShot | Student, Grade 10 | eNotes Newbie

Posted February 22, 2013 at 5:12 PM via web

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What is the simplified form of x minus 4 over x squared minus x minus 12 • x minus 4 over x squared minus 8x plus 16 ?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted February 22, 2013 at 5:19 PM (Answer #1)

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The simplified form of "x minus 4 over x squared minus x minus 12"*"x minus 4 over x squared minus 8x plus 16" has to be determined.

This is: `((x - 4)/(x^2 - x - 12))*((x - 4)/(x^2 - 8x + 16))`

= `((x - 4)/((x - 4)(x - 3)))*((x - 4)/(x - 4)^2)`

= `(1/(x - 3))*(1/(x - 4))`

=> `1/((x - 3)(x - 4))`

The simplified form of the given expression is `1/((x - 3)(x - 4))`

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