SOLUTION: rewrite the expression as a single fraction in lowest terms. x + 1 / x-1 - 1/(x-1)^2 I got x^3-2x^2+2x-2/(x-1)^2

Algebra ->  Equations -> SOLUTION: rewrite the expression as a single fraction in lowest terms. x + 1 / x-1 - 1/(x-1)^2 I got x^3-2x^2+2x-2/(x-1)^2      Log On


   

Question 374927: rewrite the expression as a single fraction in lowest terms.


x + 1 / x-1 - 1/(x-1)^2
I got x^3-2x^2+2x-2/(x-1)^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
How?
You start with a function that has x%2Fx and 1%2Fx%5E2 and ended it with a function that has x%5E3%2Fx%5E2.
Something is not correct.
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Use the common denominator,%28x-1%29%5E2.
%28x+%2B+1%29%2F%28x-1%29=%28%28x%2B1%29%28x-1%29%29%2F%28x-1%29%5E2
%28x+%2B+1%29%2F%28x-1%29=%28x%5E2-1%29%2F%28x-1%29%5E2
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%28x+%2B+1%29%2F%28x-1%29+-+1%2F%28x-1%29%5E2=%28x%5E2-1-1%29%2F%28x-1%29%5E2
highlight%28%28x+%2B+1%29%2F%28x-1%29+-+1%2F%28x-1%29%5E2=%28x%5E2-2%29%2F%28x-1%29%5E2%29