[SOLVED] simplifying an expression

**snaes** · January 31st 2010, 06:25 PM

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

**dedust** · January 31st 2010, 06:42 PM

Originally Posted by snaes

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

$\dfrac{-15x^5y^4-3}{5x^6y^4+x}$ $= \dfrac{-15x^5y^4-3}{x(5x^5y^4+1)} = \dfrac{-15x^4y^4-\frac{3}{x}}{(5x^5y^4+1)} = \dfrac{-\frac{3}{x} \left(5x^5y^4 + 1 \right)}{(5x^5y^4+1)} = -\frac{3}{x}$

**bigwave** · January 31st 2010, 07:03 PM

Originally Posted by snaes

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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