x/(x-2) – 1/(x+3) simplify?

hm. I looked over the other two answers and Im pretty sure they are both wrong. The guy from Israel says to simplify the numerator x(x+3)-1(x-2) but you get x^2+2x+2, not x^2+2x+3 like he says.

The Lizett person was good until the last two steps. Somehow (s)he eliminated the x-2 in the denominator by incorrectly manipulating the numerator.

I got

x^2+2x+2/((x-2)(x+3)) or x^2+2x+2/x^2+x-6

I hope this wasn’t too confusing.

lets make common denominator (x+3)(x-2)

and we will get x(x+3)-1(x-2) divided in (x+3)(x-2), when we will open the parenthesis and gather all the similiar ones we will get in the numerator x^2+2x+3 or in different words (x+3)(x-1)

and all the expression after the division will be (x-1)/(x-2)

hope i have helped you

yoav zilberman

israel

x(x+3)-1(x-2)/ (x-2)(x+3)

x^2+3x-x+2/ (x-2)(x+3)

x^2+3x-x+2/ (x-2)(x+3)

x^2+2x+2/ (x-2)(x+3)

x(x+2)+2/ (x-2)(x+3)

-x+2/ (x+3)