SOLUTION: _w2_- _1_ (dot) _w_-_1______ (w-1)2 w2 +2w + 1 This is my last one I promise!! the first 2 on top after the w is to the power 2, and there is a dot in between the 2 f

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: _w2_- _1_ (dot) _w_-_1______ (w-1)2 w2 +2w + 1 This is my last one I promise!! the first 2 on top after the w is to the power 2, and there is a dot in between the 2 f      Log On


   

Question 225171: _w2_- _1_ (dot) _w_-_1______
(w-1)2 w2 +2w + 1
This is my last one I promise!! the first 2 on top after the w is to the power 2, and there is a dot in between the 2 fractions that means to multiply right or is it just add? Yikes. It has been a while since I have done any math!! :( Anyway the bottom row the 2 after the parenthesis is a to the power too 2 and so is the first one after the w in the bottom second fraction and i think that is it. I am sorry these turn out to be so messy. Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The key to this problem is factoring.


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


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


Break up %28w-1%29%5E2 to get %28w-1%29%28w-1%29.


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


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


Highlight the common terms.


Cancel out the common terms.


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


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


In other words,