SOLUTION: please help me solve this problem (x^2-1)(x+1) divided by x^2-2x+1

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Question 506981: please help me solve this problem (x^2-1)(x+1) divided by x^2-2x+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

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

%28%28x-1%29%28x%2B1%29%28x%2B1%29%29%2F%28x%5E2-2x%2B1%29 Use the difference of squares to factor.

%28%28x-1%29%28x%2B1%29%28x%2B1%29%29%2F%28%28x-1%29%28x-1%29%29 Factor the denominator.

Highlight the common terms.

%28cross%28%28x-1%29%29%28x%2B1%29%28x%2B1%29%29%2F%28cross%28%28x-1%29%29%28x-1%29%29 Cancel out the common terms.

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

%28x%5E2%2B2x%2B1%29%2F%28x-1%29 FOIL out the numerator.

So %28%28x%5E2-1%29%28x%2B1%29%29%2F%28x%5E2-2x%2B1%29 simplifies to %28x%5E2%2B2x%2B1%29%2F%28x-1%29

In other words, %28%28x%5E2-1%29%28x%2B1%29%29%2F%28x%5E2-2x%2B1%29=%28x%5E2%2B2x%2B1%29%2F%28x-1%29

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim