1. ## Adding Rational Expressions with Unlike Denominators

Add. Simplify, if possible. $\displaystyle \frac {1} {5x} + \frac {7x} {x+5}$

2. Originally Posted by HSS8
Add. Simplify, if possible. $\displaystyle \frac {1} {5x} + \frac {7x} {x+5}$
$\displaystyle \frac {1} {5x} + \frac {7x} {x+5}$

$\displaystyle \frac {1*(x+5)} {5x*(x+5)} + \frac {7x*5x} {(x+5)*5x}$

$\displaystyle \frac {(x+5)+7x*5x} {5x*(x+5)}$

$\displaystyle \frac {x+5+35x^2} {5x*(x+5)}$

$\displaystyle \frac {x+5+35x^2} {5x^2+25x}$

I guess there is no way to simplify

3. ## the bottom

The denominator in the answer above could be simplified further into 5(x^2+5). Sorry I just joined and I do not know how to insert exponents on using my keyboard. It should say x squared. Factor out the 5 and you have x squared and 5.

4. Actually now that I think about it, you should have 5x(x+5). Because you could factor out the X as well. Sorry about that.