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Math Help - Help With An Algebra Multiplying Rational Expressions Problem?

  1. #1
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    Exclamation Help With An Algebra Multiplying Rational Expressions Problem?

    Multiply. Simplify the product.

    -2n 7n+7
    ------- x -----------
    7(n+2) n+1

    I'm having trouble typing the fraction so, i'll say it in words.
    -2n over 7(n+2) times 72+7 over n+1

    Thanks in advance!
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  2. #2
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    Is there a typo on your end.

    It should be -2n over 7(n+2) times 7n+7 over n+1 right ?

    Then this should be the way to do it.

    -2n/7(n+2) x (7n+7)/n+1
    -2n/7n+14 x (7n+7)/n+1
    -2n(7n+7)/(7n+14)(n+1)
    -14n^2-14n/(7n+14)(n+1)
    -14n(n+1)/(7n+14)(n+1)
    -14n/(7n+14)

    Quote Originally Posted by alicec4ever View Post
    Multiply. Simplify the product.

    -2n 7n+7
    ------- x -----------
    7(n+2) n+1

    I'm having trouble typing the fraction so, i'll say it in words.
    -2n over 7(n+2) times 72+7 over n+1

    Thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  3. #3
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    Lexington, MA (USA)
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    Hello, alicec4ever!

    We are supposed to factor and reduce . . . then multiply.


    Multiply: . \frac{-2n}{7(n+2)} \cdot \frac{7n+7}{n+1}

    Factor: . \frac{-2n}{7(n+2)}\cdot\frac{7(n+1)}{n+1}

    Reduce: . \frac{-2n}{{\color{red}\rlap{/}}7(n+2)}\cdot\frac{{\color{red}\rlap{/}}7{\color{blue}\rlap{//////}}(n+1)}{{\color{blue}\rlap{/////}}n+1}

    and we have: . \frac{-2n}{n+2}

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  4. #4
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    Quote Originally Posted by tester85 View Post
    Is there a typo on your end.

    It should be -2n over 7(n+2) times 7n+7 over n+1 right ?

    Then this should be the way to do it.

    -2n/7(n+2) x (7n+7)/n+1
    -2n/7n+14 x (7n+7)/n+1
    -2n(7n+7)/(7n+14)(n+1)
    -14n^2-14n/(7n+14)(n+1)
    -14n(n+1)/(7n+14)(n+1)
    -14n/(7n+14)
    ya, i put 72+7 over n+1, i meant 7n+7
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