Question 304059
x^2-5x+6   / x-3
_________________

x+2  /  x^2-4

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

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

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

=x-2 /x-2

=1

Ananth