Adding Rational Expressions with Unlike Denominators

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November 14th 2008, 05:57 PM
HSS8

Adding Rational Expressions with Unlike Denominators

Add. Simplify, if possible. $\frac {1} {5x} + \frac {7x} {x+5}$
November 14th 2008, 06:29 PM
Rapha

Quote:

Originally Posted by HSS8

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

$\frac {1} {5x} + \frac {7x} {x+5}$

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

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

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

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

I guess there is no way to simplify
November 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.
November 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.

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