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Thread: check this please

  1. #1
    Newbie
    Joined
    Feb 2009
    Posts
    18

    check this please

    can someone tell me if this is right
    simplify

    3x
    x

    minus

    x
    x+1

    my answer is
    2x^2+4x
    x(x+1)
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  2. #2
    Newbie ZosoPage's Avatar
    Joined
    May 2009
    Posts
    16
    $\displaystyle
    \frac{3x}{x}-\frac{x}{x+1}=
    $
    multiplying by $\displaystyle (x+1)$ for the left fraction and $\displaystyle (x)$ for the right fraction gives

    $\displaystyle
    \frac{3x(x+1)-x*(x)}{x(x+1)}=
    $
    simplifying the numerator

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

    more simplifying

    $\displaystyle \frac{2x^2+3x}{x(x+1)}=$

    factoring $\displaystyle x$ out of the numerator and canceling it with the $\displaystyle x$ in the denominator leaves

    $\displaystyle
    \frac{2x+3}{x+1}
    $
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