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What is the simplified form of :(8x^2 - 242) / (2x^2 - 25x+77)

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xetaalpha2 | Student | Honors

Posted April 22, 2011 at 1:47 PM via web

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What is the simplified form of :(8x^2 - 242) / (2x^2 - 25x+77)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 22, 2011 at 2:01 PM (Answer #1)

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To simplify (8x^2 - 242) / (2x^2 - 25x+77) we have to factorize the numerator and the denominator and cancel any common factors.

(8x^2 - 242) / (2x^2 - 25x + 77)

=> 2(4x^2 - 121) / (2x^2 - 14x - 11x + 77)

=> 2((2x)^2 - 11^2)) / (2x(x - 7) - 11(x - 7))

=> 2(2x - 11)(2x + 11)/ (2x - 11)(x - 7))

cancel (2x - 11)

=> 2(2x + 11) / (x - 7)

The simplified form of the fraction is 2(2x + 11) / (x - 7)

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