Simplify the expression: 1x+1x+1\frac{1}{x} + \frac{1}{x+1}x1+x+11 (assume x≠0,−1x \neq 0, -1x=0,−1).
2x+1x(x+1)\frac{2x+1}{x(x+1)}x(x+1)2x+1
2x(x+1)\frac{2}{x(x+1)}x(x+1)2
1x2+x\frac{1}{x^2+x}x2+x1
2x+12x+1\frac{2x+1}{2x+1}2x+12x+1