SOLUTION: I need to write this in its lowest term once I factor the numerator I'm confused how to get to the answer: 3x^2+3x-6/x^2-4 the answer is 3(x-1)/(x-2) some simple steps to get ther

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to write this in its lowest term once I factor the numerator I'm confused how to get to the answer: 3x^2+3x-6/x^2-4 the answer is 3(x-1)/(x-2) some simple steps to get ther      Log On


   

Question 897724: I need to write this in its lowest term once I factor the numerator I'm confused how to get to the answer:
3x^2+3x-6/x^2-4 the answer is 3(x-1)/(x-2) some simple steps to get there would be great I
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
You most likely mean, (3x^2+3x-6)/(x^2-4) which renders as %283x%5E2%2B3x-6%29%2F%28x%5E2-4%29.

FACTORIZE the numerator and the denominator. Do then what you normally do when reducing or simplifying fractions.

%283%28x%5E2%2Bx-2%29%29%2F%28%28x%2B2%29%28x-2%29%29

%283%28x-1%29%28x%2B2%29%29%2F%28%28x%2B2%29%28x-2%29%29

%283%28x-1%29cross%28%28x%2B2%29%29%29%2F%28cross%28%28x%2B2%29%29%28x-2%29%29