SOLUTION: factors this with the product of the sum and difference of 2 cubes (1-m)^3+(m-1)^6

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Question 1086328: factors this with the product of the sum and difference of 2 cubes (1-m)^3+(m-1)^6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%281-m%29%5E3%2B%28m-1%29%5E6+...........since %281-m%29%5E3=-%28m-1%29%5E3, we have
%28m-1%29%5E6-%28m-1%29%5E3
%28m-1%29%5E3+%28m-1%29%5E3-%28m-1%29%5E3
%28m-1%29%5E3%28+%28m-1%29%5E3-1%29
%28m-1%29%5E3%28+m%5E3+-+3+m%5E2+%2B+3+m+-+2%29
%28m-1%29%5E3+%28%28m+-+2%29+%28m%5E2+-+m+%2B+1%29%29
%28m-1%29%28m-1%29%28m-1%29+%28m+-+2%29+%28%28m+-+1%29+m+%2B+1%29