SOLUTION: x^2-20x+100 over 3x-30 divided by 2x-20 over 6 please show steps, very confused

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Question 613170: x^2-20x+100 over 3x-30 divided by 2x-20 over 6

please show steps, very confused
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2-20x%2B100%29%2F%283x-30%29
----------------
%282x-20%29%2F6
:
Remember the rule when you divide fractions,"Invert the dividing fraction and multiply"
%28x%5E2-20x%2B100%29%2F%283x-30%29 * 6%2F%282x-20%29
:
We can do a lot of factoring here
%28%28x-10%29%28x-10%29%29%2F%283%28x-10%29%29 * 6%2F%282%28x-10%29%29
;
Cancel the 3 into the 6
%28%28x-10%29%28x-10%29%29%2F%28%28x-10%29%29 * 2%2F%282%28x-10%29%29
:
Cancel the 2 into the 2
%28%28x-10%29%28x-10%29%29%2F%28%28x-10%29%29 * 1%2F%28%28x-10%29%29
;
We have two (x-10)'s in the numerator and the denominators, cancel those out and you have:
1 * 1 = 1