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Math Help - simplify

  1. #1
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    simplify

    simplify

    I) \frac{x}{x-1}+\frac{x+2}{x^2-1}
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  2. #2
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    Quote Originally Posted by william View Post
    simplify

    I) \frac{x}{x-1}+\frac{x+2}{x^2-1}
    \frac{x}{x-1}+\frac{x+2}{(x-1)(x+1)}

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

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

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

    \frac{x^2+2x+ 2}{(x+1)(x-1)}
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  3. #3
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    Quote Originally Posted by Mush View Post
    \frac{x}{x-1}+\frac{x+2}{(x-1)(x+1)}

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

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

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

    \frac{x^2+2x+ 2}{(x+1)(x-1)}
    very nicely done thanks
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  4. #4
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    Quote Originally Posted by Mush View Post
    \frac{x}{x-1}+\frac{x+2}{(x-1)(x+1)}

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

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

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

    \frac{x^2+2x+ 2}{(x+1)(x-1)}
    what would change if it was I) \frac{x}{x-1}+\frac{x+1}{x^2-1}
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