There are numbers $A$ and $B$ for which  \[\frac A{x-1}+\frac B{x+1}=\frac{x+2}{x^2-1}\] for every number $x\neq\pm1$.  Find $B$.
Question:
There are numbers $A$ and $B$ for which  \[\frac A{x-1}+\frac B{x+1}=\frac{x+2}{x^2-1}\] for every number $x\neq\pm1$.  Find $B$.
Answer:
Let's think step by step.

user
-\frac12
There are numbers $A$ and $B$ for which  \[\frac A{x-1}+\frac B{x+1}=\frac{x+2}{x^2-1}\] for every number $x\neq\pm1$.  Find $B$.
train