SOLUTION: Factor Completely: (please provide steps) x^4y-81y^5 thanks for your help

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Question 576034: Factor Completely: (please provide steps)

x^4y-81y^5

thanks for your help
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4y-81y%5E5+
Factor out y
y%28x%5E4-81y%5E4%29
The difference of squares will factor to
y%28x%5E2-9y%5E2%29%28x%5E2%2B9y%5E2%29
one more difference of squares
y%28x%2B3y%29%28x-3y%29%28x%5E2%2B9y%5E2%29