SOLUTION: I do not know if the topic I choose is correct. But the question and directions are: Write the given expression as an equivalent rational expression that has the given denominator

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Question 1174786: I do not know if the topic I choose is correct.
But the question and directions are: Write the given expression as an equivalent rational expression that has the given denominator.
3x%5E3%2F%283x-6%29 The denominator needs to be: (2-x)(x^2+9)
I pulled out the 3 from both top and bottom and cross canceled making the expression: x%5E3%2F-1%282-x%29
But I do not know how to get rid of the -1 on the bottom to make the denominator (2-x)(x^2+9) and I know you have to multiply by (x^2+9) on both the top and bottom but I don't know how to get ride of the -1.

Found 2 solutions by AnlytcPhil, Edwin McCravy:
Answer by AnlytcPhil(1806) About Me  (Show Source):
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The trick for reversing a subtraction A-B to make it involve B-A is to
multiply by -1, making it -A+B, then you can turn it around as B-A.

%283x%5E3%29%2F%283x-6%5E%22%22%29%22%22=%22%22%283x%5E3%29%2F%283%28x-2%29%5E%22%22%29%22%22=%22%22%28cross%283%29x%5E3%29%2F%28cross%283%29%28x-2%29%5E%22%22%29%22%22=%22%22%28x%5E3%29%2F%28x-2%5E%22%22%29%22%22=%22%22x%5E3%2F%28x-2%5E%22%22%29%22%22%2A%22%22%28%28-1%5E%22%22%29%28x%5E2%2B9%29%29%2F%28%28-1%5E%22%22%29%28x%5E2%2B9%29%29%22%22=%22%22
%28%28-x%5E3%29%28x%5E2%2B9%29%29%2F%28%28-x%2B2%5E%22%22%29%28x%5E2%2B9%29%29%22%22=%22%22%28-x%5E5-9x%5E3%29%2F%28%282-x%5E%22%22%29%28x%5E2%2B9%29%29

Edwin