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Math Help - [SOLVED] simplifying an expression

  1. #1
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    [SOLVED] simplifying an expression

    how do i simplify:

    \dfrac{-15x^5y^4-3}{5x^6y^4+x}

    it simplifies down to \dfrac{-3}{x} I just need to know how.
    Thanks
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  2. #2
    Senior Member
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    Quote Originally Posted by snaes View Post
    how do i simplify:

    \dfrac{-15x^5y^4-3}{5x^6y^4+x}

    it simplifies down to \dfrac{-3}{x} I just need to know how.
    Thanks
    \dfrac{-15x^5y^4-3}{5x^6y^4+x} = \dfrac{-15x^5y^4-3}{x(5x^5y^4+1)} = \dfrac{-15x^4y^4-\frac{3}{x}}{(5x^5y^4+1)} = \dfrac{-\frac{3}{x} \left(5x^5y^4 + 1 \right)}{(5x^5y^4+1)} = -\frac{3}{x}
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  3. #3
    Super Member bigwave's Avatar
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    Quote Originally Posted by snaes View Post
    how do i simplify:

    \dfrac{-15x^5y^4-3}{5x^6y^4+x}

    it simplifies down to \dfrac{-3}{x} I just need to know how.
    Thanks
    \dfrac{-15x^5y^4-3}{5x^6y^4+x}=<br />
\dfrac{-3(5x^5y^4+1)}{x(5x^5y^4+1)}=\frac{-3}{x}<br /> <br />
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