SOLUTION: Simplify the following unless it's already simplified: 2x^2+x-6/2x+4 Please help, I don't know what to do. :/

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Simplify the following unless it's already simplified: 2x^2+x-6/2x+4 Please help, I don't know what to do. :/      Log On


   

Question 7745: Simplify the following unless it's already simplified:
2x^2+x-6/2x+4
Please help, I don't know what to do. :/
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
One way to do this is to factor the numerator and, if possible, cancel like factors in the numerator and denominator.
%282x%5E2+%2B+x+-+6%29%2F%282x+%2B+4%29+=+%282x+-+3%29%28x+%2B+2%29%2F%282x+%2B+4%29 Factor a 2 from the denominator.
%282x%5E2+%2B+x+-+6%29%2F%282x+%2B+4%29+=+%282x+-+3%29%28x+%2B+2%29%2F2%28x+%2B+2%29 Cancel the (x + 2)'s
%282x%5E2+%2B+x+-+6%29%2F%282x+%2B+4%29+=+%282x+-+3%29%2F2 or,
%282x%5E2+%2B+x+-+6%29%2F%282x+%2B+4%29+=+x+-+3%2F2