I'm stuck on this problem, can someone explain how to do this for me?

x+3/x+5 + 6/x^2 + 3x - 10

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- Apr 2nd 2010, 06:02 PMRandomStudentHelp solving this equation..?
I'm stuck on this problem, can someone explain how to do this for me?

x+3/x+5 + 6/x^2 + 3x - 10 - Apr 2nd 2010, 06:06 PMskeeter
- Apr 2nd 2010, 06:10 PMRandomStudent
There was no directions, it just gave me the expression to solve..

(x+3)/(x+5) + 6/(x^2 + 3x - 10) - Apr 2nd 2010, 06:18 PMmr fantastic
- Apr 2nd 2010, 06:20 PMskeeter
factor the denominator of the second term ...

$\displaystyle \frac{x+3}{x+5} + \frac{6}{(x+5)(x-2)}

$

common denominator is $\displaystyle (x+5)(x-2)$ ...

$\displaystyle \frac{(x+3)(x-2)}{(x+5)(x-2)} + \frac{6}{(x+5)(x-2)}

$

add the fractions ...

$\displaystyle \frac{(x+3)(x-2)+6}{(x+5)(x-2)}$

finish by multiplying the two binomials in the numerator and combining like terms.

fyi ... one simplifies an expression or solves an equation. there is a difference.