SOLUTION: I am taking a college calculus class afterm some time off and I cannot remember how to solve simplify a polynomial with division. It is as follows: [(x+3/x+1)-2]/(x-1). What are

Question 146189: I am taking a college calculus class afterm some time off and I cannot remember how to solve simplify a polynomial with division.
It is as follows: [(x+3/x+1)-2]/(x-1). What are the rules to remember and how would I begin solving this?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
[(x+3/x+1)-2]/(x-1)
To simplify the bracket you need a common denominator:
= [(x+3)/(x+1) - 2(x+1)/(x+1)] / (x-1)
Now combine the numerators in the bracket to get:
= [(x+3 -2x-2)/(x+1)] /(x-1)
= [(-x+1)/(x+1)]/(x-1)
Now, invert the denominator and change to multiplication:
= [-(x-1)/(x+1)] * [ 1/(x-1)]
Cancel any factor that is common to a numerator and a denominator to get:
= [-1/(x+1)]
= -1/(x^2-1)
=====================
Cheers,
Stan H.
= [

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