MathDB

5

Part of 1992 Baltic Way

Problems(1)

^2 => ^4

Source: Baltic Way 1992 #5

2/17/2009
It is given that a^2\plus{}b^2\plus{}(a\plus{}b)^2\equal{}c^2\plus{}d^2\plus{}(c\plus{}d)^2. Prove that a^4\plus{}b^4\plus{}(a\plus{}b)^4\equal{}c^4\plus{}d^4\plus{}(c\plus{}d)^4.
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