# Adding Rational Expressions with Unlike Denominators

• Nov 14th 2008, 05:57 PM
HSS8
Adding Rational Expressions with Unlike Denominators
Add. Simplify, if possible. $\displaystyle \frac {1} {5x} + \frac {7x} {x+5}$
• Nov 14th 2008, 06:29 PM
Rapha
Quote:

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
• Nov 14th 2008, 09:46 PM
petergunz
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.
• Nov 17th 2008, 10:51 PM
petergunz
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.