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Thread: Simplify and multiply this equation

  1. #1
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    Simplify and multiply this equation

    I can solve this through substitution since it's multiple choice ($\displaystyle X/(X-1)$, but how is it simplified?

    (($\displaystyle 9x^2-4$)$\displaystyle /$($\displaystyle 3x^2-5x+2$)) * ($\displaystyle (9x^4-6x^3+4x^2$)/$\displaystyle 27x^4+8x$)
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  2. #2
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    Quote Originally Posted by fcabanski View Post
    I can solve this through substitution since it's multiple choice ($\displaystyle X/(X-1)$, but how is it simplified?

    (($\displaystyle 9x^2-4$)$\displaystyle /$($\displaystyle 3x^2-5x+2$)) * ($\displaystyle (9x^4-6x^3+4x^2$)/$\displaystyle 27x^4+8x$)
    Hi fcabanski,

    $\displaystyle \frac{9x^2-4}{3x^2-5x+2}\cdot \frac{9x^4-6x^3+4x^2}{27x^4+8x}$

    Let's factor the thing.

    $\displaystyle \frac{(3x-2)(3x+2)}{(3x-2)(x-1)}\cdot \frac{x^2(9x^2-6x+4)}{x(27x^3+8)}$

    $\displaystyle \frac{(3x-2)(3x+2)}{(3x-2)(x-1)}\cdot \frac{x^2(9x^2-6x+4)}{x(3x+2)(9x^2-6x+4)}$

    How's this for a start?
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  3. #3
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    I got that far but made a mistake when I factored the denominator of the second term. Thanks for the help.
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