SOLUTION: i am trying to write a fraction in simplest form x^2+ 2x +1 over x^2-2x+1 divided by x+1 over x-1 do I simplify the first part before dealing with the division?

Question 436652: i am trying to write a fraction in simplest form
x^2+ 2x +1 over x^2-2x+1 divided by x+1 over x-1

do I simplify the first part before dealing with the division?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
x^2+ 2x +1 over x^2-2x+1 divided by x+1 over x-1
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Always factor if you can.
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[(x+1)^2/(x-1)^2)] / [(x+1)/(x-1)]
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Invert and multiply:
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= [(x+1)^2/(x-1)^2)] * [(x-1)/(x+1)]
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Cancel factors common to a numerator and a denominator.
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= (x+1)/(x-1)
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Cheers,
Stan H.
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