The question is: Find the constants A and B so that
((x^2)-1)/((x^2)-1)= 1+ [A/(x+1)]+[B/(x-1)]
Now, I know that I can change 1 into the multiplicative identity of x squared minus 1 over itself. I also know that to combine the other two terms, I will have to multiply them by (x-1) and (x+1) respectively. Each time I try a different combination, the result comes out too large. Any ideas?
((x^2)-1)/((x^2)-1)= 1+ [A/(x+1)]+[B/(x-1)]
Now, I know that I can change 1 into the multiplicative identity of x squared minus 1 over itself. I also know that to combine the other two terms, I will have to multiply them by (x-1) and (x+1) respectively. Each time I try a different combination, the result comes out too large. Any ideas?