Question

Помогите упростить выражение!

Answer 1

(5/(x-2) -x -2).(2-x)/(x²-6x+9)=(5-(x+2)(x-2))/(x-2).(2-x)/(x-3)²=
=(5-x²+4)/(x-2) . (2-x)/(x-3)²=(9-x²)/(x-2) . (2-x)/(x-3)²=
=(3+x)(3-x)/(x-2) . (2-x)/(x-3)²=(3+x)(x-3)/(2-x) . (2-x)/(x-3)²=
=(3+x)(x-3)/(x-3)²=(x+3)/(x-3)
x≠2,x≠3