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

1 Answer
Nov 9, 2015

Answer:

Simplified would be: 1 + #(2x-1)/x^2# .

Explanation:

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 + #(2x-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*x#. 1 divided by -1 would equal -1. This would result in the final answer, #1+(2x-1)/x^2# .