SOLUTION: the area of one face of a cube is a^2-2ab+b^2 .Then the volume of the cube is

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Question 793758: the area of one face of a cube is a^2-2ab+b^2 .Then the volume of the cube is
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2-2ab%2Bb%5E2=%28a-b%29%5E2
If a%5E2-2ab%2Bb%5E2=%28a-b%29%5E2 is the area of one face of a cube,
the edge of the cube is abs%28a-b%29 (a-b if a%3Eb).
Then the volume of the cube is
%28abs%28a-b%29%29%5E3=abs%28%28a-b%29%5E3%29=abs%28a%5E3-3a%5E2b%2B3ab%5E2-b%5E3%29
If a%3Eb, I would not need the absolute values.