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Math Help - Simplify the expression #2

  1. #1
    Junior Member
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    Simplify the expression #2

    Simplify the expression:

    2x^2+9x+4 / x^2+x-6 divided by x^2+6x+8/ 2x^2-5x+2

    and give your answer in the form of f(x)/g(x)

    your answer for the function f(x) is:________
    your answer for the function g(x) is:________
    Last edited by mr fantastic; December 12th 2009 at 04:31 AM. Reason: Edited title
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by B-lap View Post
    Simplify the expression:

    \frac{\frac{2x^2+9x+4}{x^2+x-6}}{\frac{x^2+6x+8}{2x^2-5x+2}}

    and give your answer in the form of f(x)/g(x)

    your answer for the function f(x) is:________
    your answer for the function g(x) is:________
    Factor everything first.

    \frac{\frac{(2x+1)(x+4)}{(x+3)(x-2)}}{\frac{(x+4)(x+2)}{(2x-1)(x-2)}}

    Cancel out common factors.

    \frac{\frac{2x+1}{x+3}}{\frac{x+2}{2x-1}}

    Flip and multiply

    \frac{2x+1}{x+3}\cdot\frac{2x-1}{x+2}=\boxed{\frac{4x^2-1}{x^2+5x+6}}
    Last edited by mr fantastic; September 21st 2009 at 02:52 PM.
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