SOLUTION: if a:b = b:c, show that a^2b^2c^2(1/a^2 + 1/b^2 + 1/c^2) = a^3 + b^3 + c^3.

SOLUTION: if a:b = b:c, show that a^2b^2c^2(1/a^2 + 1/b^2 + 1/c^2) = a^3 + b^3 + c^3.

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Question 1040720: if a:b = b:c, show that a^2b^2c^2(1/a^2 + 1/b^2 + 1/c^2) = a^3 + b^3 + c^3.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The statement is not true.
Let a = 2, b = 3, and c = 4.5.
Then a:b = b:c, or .
Now .
But...
.
(And there's even a simpler example: a = 1, b = 2, and c = 4.)
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