SOLUTION: Perform the indicated operation. 76. w2 – 1/(w - 1) * w – 1/w2 + 2w + 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the indicated operation. 76. w2 – 1/(w - 1) * w – 1/w2 + 2w + 1       Log On


   

Question 168687: Perform the indicated operation.


76. w2 – 1/(w - 1) * w – 1/w2 + 2w + 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28w%5E2-1%29%2F%28w-1%29%29%28%28w-1%29%2F%28w%5E2%2B2w%2B1%29%29 Start with the given expression.


%28%28%28w-1%29%28w%2B1%29%29%2F%28w-1%29%29%28%28w-1%29%2F%28w%5E2%2B2w%2B1%29%29 Factor w%5E2-1 to get %28w-1%29%28w%2B1%29.


%28%28%28w-1%29%28w%2B1%29%29%2F%28w-1%29%29%28%28w-1%29%2F%28%28w%2B1%29%28w%2B1%29%29%29 Factor w%5E2%2B2w%2B1 to get %28w%2B1%29%28w%2B1%29.


%28%28w-1%29%28w%2B1%29%28w-1%29%29%2F%28%28w-1%29%28w%2B1%29%28w%2B1%29%29 Combine the fractions.


Highlight the common terms.


Cancel out the common terms.


%28w-1%29%2F%28w%2B1%29 Simplify.


So %28%28w%5E2-1%29%2F%28w-1%29%29%28%28w-1%29%2F%28w%5E2%2B2w%2B1%29%29 simplifies to %28w-1%29%2F%28w%2B1%29.


In other words, where w%3C%3E-1 or w%3C%3E1