SOLUTION: if a and b are two distinct non-negative numbers, prove that a^4+b^4>ab(a^2+b^2)

SOLUTION: if a and b are two distinct non-negative numbers, prove that a^4+b^4>ab(a^2+b^2)

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Question 461590: if a and b are two distinct non-negative numbers, prove that a^4+b^4>ab(a^2+b^2)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Not both of a and b are equal to zero, by the given. Assume one of them, say a, is zero, but . Then , which is always true.
Hence assume that both a and b are positive.
Then

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