# Thread: an expression problem

1. ## an expression problem

this is the problem at hand;

a^2/a-5 + a-30/a-5

Ok, knowing that the denominator (a-5) is the same on both sides it's only a matter of adding the numerators a^2 + a-30 right?!

If so, then will the answe be a^3-30/a-5? or should I factor it out but if so then would it be a^2-6??

Any help would be appretiated!!! thanks

2. $\displaystyle\frac{a^2}{a-5}+\frac{a-30}{a-5}=\frac{a^2+a-30}{a-5}=\frac{(a-5)(a+6)}{a-5}=a+6$