SOLUTION: how do you multiply these rationals? x(x-3)/(x-2) * (x+3)(x-2)/x i got x^3(18)/(x-2) is that correct?

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Question 286660: how do you multiply these rationals?
x(x-3)/(x-2) * (x+3)(x-2)/x
i got x^3(18)/(x-2) is that correct?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do you multiply these rationals?
x(x-3)/(x-2) * (x+3)(x-2)/x
i got x^3(18)/(x-2) is that correct?
%28x%28x-3%29%2F%28x-2%29%29+%2A%28%28x%2B3%29%28x-2%29%2Fx%29+
Cancel the x's
= %28%28x-3%29%2F%28x-2%29%29+%2A%28%28x%2B3%29%28x-2%29%29+
Cancel the (x-2) terms
= %28x-3%29%2A%28x%2B3%29
= x%5E2+-+9

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how do you multiply these rationals?
x(x-3)/(x-2) * (x+3)(x-2)/x
------------------------
Cancel factors common to numerator and denominator
such as x and (x-2)
---------
= (x-3)/(x+3)
===================
Cheers,
Stan H.