SOLUTION: I need help! Directions: Perform the indicated operations to simplify each expression. If possible, final answers should be factored completely. Problem:

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Question 189272: I need help!
Directions: Perform the indicated operations to simplify each expression. If possible, final answers should be factored completely.
Problem:
3x+6 * 2x^2-18
____ _______
4x+4 x^2-x-6
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B6%29%2F%284x%2B4%29 * %282x%5E2-18%29%2F%28x%5E2-x-6%29
.
Factoring:
.
%283%28x%2B2%29%29%2F%284%28x%2B1%29%29 * %282%28x%5E2-9%29%29%2F%28%28x-3%29%28x%2B2%29%29
%283%28x%2B2%29%29%2F%284%28x%2B1%29%29 * %282%28x-3%29%28x%2B3%29%29%2F%28%28x-3%29%28x%2B2%29%29
.
Canceling like-terms:
.
%283%28x%2B2%29%29%2F%284%28x%2B1%29%29 * %282%28x%2B3%29%29%2F%28x%2B2%29
.
Combining both:
.
%283%28x%2B2%292%28x%2B3%29%29%2F%284%28x%2B1%29%28x%2B2%29%29
%286%28x%2B3%29%29%2F%284%28x%2B1%29%29
%283%28x%2B3%29%29%2F%282%28x%2B1%29%29