# How do you simplify x/(x+1) + (2x+1)/(x^2-1)?

Simplified would be: 1 + $\frac{2 x - 1}{x} ^ 2$ .
First of all, let's look at x/(x+1 . Now, we can know that the x's cancel out each other. Any number that the x equals, like five, will just result in 1. That means that the x on the top will turn into a 1, and the x on the bottom will disappear. 1 divided by 1 equals 1, so we can just 1 + $\frac{2 x - 1}{x} ^ 2$ . Now, the reason why we can't simplify the 2x and the ${x}^{2}$ is because 2x is x + x, which is a different number than $x \cdot x$. 1 divided by -1 would equal -1. This would result in the final answer, $1 + \frac{2 x - 1}{x} ^ 2$ .