SOLUTION: Factor the sum 250r^3-128t^3 Please

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Question 1122918: Factor the sum
250r^3-128t^3


Please

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the sum
250r%5E3-128t%5E3
The special factoring formula for the difference of cubes, namely
%28x%5E3-y%5E3%29=%28x-y%29%28x%5E2%2Bxy%2By%5E2%29
:
factor out 2, then use the dif of cubes formula
%28250r%5E3-128t%5E3%29 = 2%28125r%5E3-64t%5E3%29 = 2%285r-4t%29%2825r%5E2+%2B+20rt+%2B+16t%5E2%29