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Math Help - Algebraic Fraction

  1. #1
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    Algebraic Fraction

    Simplify:

    <br />
\frac{3}{(x + 4)(x - 2)} - \frac{2}{(x + 3)(x - 2)}<br />

    <br />
\frac{3(x + 3)(x - 2)}{(x + 4)(x - 2)(x + 3)} - \frac{2(x + 4)}{(x + 4)(x + 3)(x - 2)}<br />

    Is this correct so far?
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  2. #2
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    Your first step should be to do

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

    and it will simplify from here

    Paul
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  3. #3
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    Hi,
    Thanks for your help, I never know what to multiply the numerator by as there are a lot of numbers in the denominator. Could you please explain this?

    Cheers.
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  4. #4
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    Quote Originally Posted by stellina_91 View Post
    Simplify:

    <br />
\frac{3}{(x + 4)(x - 2)} - \frac{2}{(x + 3)(x - 2)}<br />

    <br />
\frac{3(x + 3)(x - 2)}{(x + 4)(x - 2)(x + 3)} - \frac{2(x + 4)}{(x + 4)(x + 3)(x - 2)}<br />

    Is this correct so far?
    Should be <br />
\frac{3(x + 3)}{(x + 4)(x - 2)(x + 3)} - \frac{2(x + 4)}{(x + 4)(x + 3)(x - 2)}<br />
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