x - 2 10x
_____ + _______
x + 3 x^2 - 9
x - 2 10x
____ + _________
x + 3 (x + 3) (x - 3)
(x - 2) (x - 3) 10x
___________ + ____________
(x + 3) ( x - 3) (x + 3) ( x - 3)
[ x^2 - 5x + 6 + 10x ]
_________________
(x + 3) ( x - 3)
[ x^2 + 5x + 6 ]
_____________
{ x + 3] [ x - 3]
[ x + 2] [ x + 3]
____________
[x - 3] [ x + 3]
x + 2
____ restriction : x not equal to -3 or 3
x - 3