Question

Упростить выражение
(3/(2-x)^2 + 2/x^2-4) * (x-2)^2 - 5x/x+2

Answer 1

1)3/(x-2)²+2/(x-2)(x+2)=(3x-6+2x-4)/(x-2)²(x+2)=(5x-10)/(x-2)²(x+2)=5(x-2)/(x-2)²(x+2)=
=5/(x²-4)
2)5/(x-2)(x+2)*(x-2)²=5(x-2)/(x+2)
3)5(x-2)/(x+2)-5x/(x+2)=(5x-10-5x)/(x+2)=-10/(x+2)