SOLUTION: (sqr of 12xy)cubed times (x times sqr of xsquared y)= Couldn't figure out how they got the answer they did?

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Question 154005: (sqr of 12xy)cubed times (x times sqr of xsquared y)=
Couldn't figure out how they got the answer they did?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(sqr of 12xy)cubed times (x times sqr of xsquared y)=
:
Assume your mean:
%28sqrt%2812xy%29%29%5E3+%2A+%28x%2Asqrt%28x%5E2y%29%29 = %28sqrt%2812xy%29%29%5E3+%2A+sqrt%28x%5E4y%29%29
We can write this:
sqrt%2812xy%29%2A+sqrt%2812xy%29+%2A+sqrt%2812xy%29+%2A+sqrt%28x%5E4y%29%29
Which is:
12xy+%2A+sqrt%2812xy%29+%2A+sqrt%28x%5E4y%29%29 = 12xy+%2A+sqrt%2812xy%2Ax%5E4y%29 = 12xy+%2A+sqrt%284%2A3%2Ax%5E2x%5E2x%2Ay%5E2%29; factor to reveal the perfect squares
Extract the perfect squares
12xy%2A2x%5E2y%2Asqrt%283x%29 = 24x%5E3y%5E2sqrt%283x%29