simplify fully
25-x²
_____
25+5x
the ____ is divided by..
I don't know how to do this.
Thanks..
The answer is factor, factor, factor!
$\displaystyle 25 - x^2 = 5^2 - x^2$ is the difference between two squares, so
$\displaystyle 25 - x^2 = (5 + x)(5 - x)$
$\displaystyle 25 + 5x = 5(5 + x)$
So....
$\displaystyle \frac{25 - x^2}{25 + 5x} = \frac{(5 + x)(5 - x)}{5(5 + x)} = \frac{5 - x}{5}$; $\displaystyle x \neq -5$
-Dan