# Thread: [SOLVED] simplifying an expression

1. ## [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

2. 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
$\dfrac{-15x^5y^4-3}{5x^6y^4+x}$ $= \dfrac{-15x^5y^4-3}{x(5x^5y^4+1)} = \dfrac{-15x^4y^4-\frac{3}{x}}{(5x^5y^4+1)} = \dfrac{-\frac{3}{x} \left(5x^5y^4 + 1 \right)}{(5x^5y^4+1)} = -\frac{3}{x}$

3. 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{-3(5x^5y^4+1)}{x(5x^5y^4+1)}=\frac{-3}{x}

$