4
2ab/(a-b)(a²+ab+b²)+(a-b)/(a²+ab+b²)=(2ab+a²-2ab+b²)/(a-b)(a²+ab+b²)=
=(a²+b²)/(a-b)(a²ab+b²)
(a²+b²)/(a-b)(a²ab+b²) :(a²+b²)/(a-b)=(a²+b²)/(a-b)(a²ab+b²)*(a-b)(a²+b²)1/(a²+ab+b²)
5
1/x-1/x²=(x-1)/x²
(x-1)/x²:(x-1)/x==(x-1)/x²*x/(x-1)=1/x
1/x-1/x=0
x/(x-2)+x/(x+2)=(x²+2x+x²-2x)/(x²-4)=4x²/(x²-4)
4x²/(x²-4)=4x²/(x²-4) ч.т.д.