SOLUTION: Factor x squared minus 9 over 3x minus 9.

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Question 16512: Factor x squared minus 9 over 3x minus 9.
Found 2 solutions by elima, smik:
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
Factor x squared minus 9 over 3x minus 9
%28x%5E2-9%29%2F%283x-9%29
%28%28x%2B3%29%28x-3%29%29%2F%283%28x-3%29%29
Cancel out the (x-3);
%28x%2B3%29%2F3
Hope you understand
=)

Answer by smik(40) About Me  (Show Source):
You can put this solution on YOUR website!
Good question. When anything asks you to factor, it's asking you to reduce the expression given to it's simplest product form. Here we have:


[(x^2)-9]/[3x-9]


[(x^2)-9] is special, because the square root of 9 is an integer, and there's a subtraction sign infront of it. This therefore gives us: (x-3)(x+3).


[3x-9] on the other hand is easier. Basically all we can factor out of that is a 3, as both 3x and (-9) are divisible by 3. This therefore gives us: 3(x-3).


Hence, we get the "Factor of x squared minus 9 over 3x minus 9" to be:


[(x-3)(x+3)]/[3(x-3)]


we can go a step further and simplify the expression, by eliminating (x-3), which would leave us with:


(x+3)/3