SOLUTION: Help Please !!. w^2-1/(w-1)*w-1/w^2+2w+1=

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Question 186587: Help Please !!. w^2-1/(w-1)*w-1/w^2+2w+1=
Found 2 solutions by jim_thompson5910, stanbon:
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%2A%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

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(w^2-1)/(w-1)*(w-1)/(w^2+2w+1)
Cancel the common factor w=1 to get:
= (w^2-1)/[w+1)^2]
= [(w-1)(w+1)]/[(w+1)^2]
Cancel the common factor w+1 to get:
= (w-1)/(w+1)
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Cheers,
Stan H.