SOLUTION: Multiplication {{{6x^2-18x}}} ___________ __ {{{3x^2-2x}}} TIMES {{{15x-10}}} ___________ __ {{{x^2-9}}} I factored first 2x(x-9) _______

Algebra ->  Equations -> SOLUTION: Multiplication {{{6x^2-18x}}} ___________ __ {{{3x^2-2x}}} TIMES {{{15x-10}}} ___________ __ {{{x^2-9}}} I factored first 2x(x-9) _______       Log On


   

Question 236726: Multiplication
6x%5E2-18x
______________
3x%5E2-2x
TIMES
15x-10
______________
x%5E2-9

I factored first
2x(x-9)
_______
x(3x-2)
TIMES
5(3x-2)
__________
(x-3)(x+3)
Do I cancel out 3x-2 and left w/ LCD of x(x-3)(x+3)?
Thanks
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
You have the right ideas. There's just a slight flaw in your factoring:
%28%286x%5E2-18x%29%2F%283x%5E2-2x%29%29%2A%28%2815x-10%29%2F%28x%5E2-9%29%29
which factors into

Canceling common factors:

which simplifies to:
30%2F%28x%2B3%29