SOLUTION: 2x/x+3 - 4/x A.2x-4/2x+3 B.2x-4/x^2+3x C.2x^2-4x-12/x^2+3x D.8x/2x+3

Algebra ->  Rational-functions -> SOLUTION: 2x/x+3 - 4/x A.2x-4/2x+3 B.2x-4/x^2+3x C.2x^2-4x-12/x^2+3x D.8x/2x+3       Log On


   

Question 258349: 2x/x+3 - 4/x
A.2x-4/2x+3
B.2x-4/x^2+3x
C.2x^2-4x-12/x^2+3x
D.8x/2x+3
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!

(2 x)/(x+3) + (-4)/x
| = | (2 x x)/((x+3) x) + (-4 (3+x))/(x (3+x)) | (make common denominator)
| = | (2 x^2)/(3 x+x^2) + (-12-4 x)/(3 x+x^2) | (multiply)
| = | (2 x^2 + -12-4 x)/(3 x+x^2) | (collect terms)
| = | (-12-4 x+2 x^2)/(3 x+x^2) | (add)
which is equivalent to
C.2x^2-4x-12/x^2+3x