SOLUTION: simplify the expression... x^2+3x/ x^2+5x+6 divided by x^2-36/ x^2-4x-12 a. 1/x-6 b. x/x+6 c. x+3/x+2 d. 1 tthanks!

Algebra ->  Expressions-with-variables -> SOLUTION: simplify the expression... x^2+3x/ x^2+5x+6 divided by x^2-36/ x^2-4x-12 a. 1/x-6 b. x/x+6 c. x+3/x+2 d. 1 tthanks!      Log On


   

Question 308035: simplify the expression...
x^2+3x/ x^2+5x+6 divided by x^2-36/ x^2-4x-12
a. 1/x-6
b. x/x+6
c. x+3/x+2
d. 1
tthanks!
Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
You have to factor all four of those polynomials.

Remember that when dividing fractions, you simply multiply by the reciprocal. Your equations should look like this, after factoring.
x%28x%2B3%29%2F%28x%2B2%29%28x%2B3%29%2A%28x-6%29%28x%2B2%29%2F%28x-6%29%28x%2B6%29

A lot of things will cancel out, so you can cross off anything that is on the top and bottom.

You are left with x/(x+6). The answer is b.