1/x-1=1/x-1
Пошаговое объяснение:
2x^2+4/(x-1)*(x+1)-x-2/x+1-x+1/x-1=1/x-1
2x^2+4-(x^2+2x-x+2)-(x+1)^2 / (x-1)*(x+1)=1/x-1
2x^2+4-x^2+3x-2-(x+1)^2 / (x-1)*(x+1)=1/x-1
x^2+3x+2-(x-1)^2 / (x-1)*(x+1)=1/x-1
x^2+2x+x+2-(x+1)^2 / (x-1)*(x+1)=1/x-1
x*(x+2)+x+2-(x+1)^2 / (x-1)*(x+1)=1/x-1
(x+2)*(x+1)-(x+1)^2 / (x-1)*(x+1)=1/x-1
(x+1)*(x+2-(x+1)) / (x-1)*(x+1)=1/x-1
x+2-x-1 / 1/x-1=1/x-1
1/x-1=1/x-1
Пошаговое объяснение:
2x^2+4/(x-1)*(x+1)-x-2/x+1-x+1/x-1=1/x-1
2x^2+4-(x^2+2x-x+2)-(x+1)^2 / (x-1)*(x+1)=1/x-1
2x^2+4-x^2+3x-2-(x+1)^2 / (x-1)*(x+1)=1/x-1
x^2+3x+2-(x-1)^2 / (x-1)*(x+1)=1/x-1
x^2+2x+x+2-(x+1)^2 / (x-1)*(x+1)=1/x-1
x*(x+2)+x+2-(x+1)^2 / (x-1)*(x+1)=1/x-1
(x+2)*(x+1)-(x+1)^2 / (x-1)*(x+1)=1/x-1
(x+1)*(x+2-(x+1)) / (x-1)*(x+1)=1/x-1
x+2-x-1 / 1/x-1=1/x-1
1/x-1=1/x-1