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Math Help - simplifying two fractions

  1. #1
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    simplifying two fractions

    Hi sorry about the over flow of questions today just going over some stuff for and exam tomorrow.

    how would you simplify the following fraction into a single fraction?

    \frac{x}{x^2+4x+3}-\frac{2}{x^2+3x+2}

    cheers
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  2. #2
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    Quote Originally Posted by dadon
    Hi sorry about the over flow of questions today just going over some stuff for and exam tomorrow.

    how would you simplify the following fraction into a single fraction?

    \frac{x}{x^2+4x+3}-\frac{2}{x^2+3x+2}
    cheers
    Hello,

    1. Factorize the denominators. You'll get:
    x^2+4x+3 = (x+1)(x+3)
    x^2+3x+2 = (x+1)(x+2)

    2. Thus the lcd = (x+1)(x+2)(x+3).

    3. Transform the fractions and you'll get:

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

    \frac{x^2+2x-2x-6}{(x+1)(x+2)(x+3)} = \frac{x^2-6}{(x+1)(x+2)(x+3)}

    Greetings

    EB
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  3. #3
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    thanks earboth
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