SOLUTION: Reduce the following expression to lowest terms: x^2 - 9x + 14/5x^2 - 20

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Reduce the following expression to lowest terms: x^2 - 9x + 14/5x^2 - 20      Log On


   

Question 38613: Reduce the following expression to lowest terms:
x^2 - 9x + 14/5x^2 - 20
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The critical step here is FACTORING, and I mean FACTOR COMPLETELY!!

%28x%5E2+-+9x+%2B+14%29%2F%285x%5E2+-+20%29
%28%28x-7%29%2A%28x-2%29%29%2F%285%28x%5E2-4%29%29
%28%28x-7%29%2A%28x-2%29%29%2F%285%28x-2%29%2A%28x%2B2%29%29

Divide out the x-2 factor in the numerator and denominator, and this should be what is left:
%28x-7%29%2F%285%28x%2B2%29%29

R^2 at SCC