SOLUTION: Tutor could you please help me to simplify the following? 12x^2+4x-1/2x+1 and x^2+3x-4/x^2-x-20 Thank You

Algebra ->  Expressions -> SOLUTION: Tutor could you please help me to simplify the following? 12x^2+4x-1/2x+1 and x^2+3x-4/x^2-x-20 Thank You      Log On


   

Question 86911: Tutor could you please help me to simplify the following?
12x^2+4x-1/2x+1
and
x^2+3x-4/x^2-x-20
Thank You
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2812x%5E2%2B4x-1%29%2F%282x%2B1%29

%282x%2B1%29%286x-1%29%2F%282x%2B1%29 Factor the numerator (note: if you need help with factoring, check out this solver)

cross%28%282x%2B1%29%29%286x-1%29%2Fcross%28%282x%2B1%29%29 Cancel like terms

So it simplifies to this:
6x-1


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%28x%5E2%2B3x-4%29%2F%28x%5E2-x-20%29

%28x%2B4%29%28x-1%29%2F%28x%5E2-x-20%29 Factor the numerator

%28x%2B4%29%28x-1%29%2F%28x-5%29%28x%2B4%29 Factor the denominator

cross%28%28x%2B4%29%29%28x-1%29%2F%28x-5%29cross%28%28x%2B4%29%29 Cancel like terms

So it simplifies to this:
%28x-1%29%2F%28x-5%29