Question

SOlve the equation.

x³ - x = y⁷ - y³

Answer 1

Step-by-step explanation:

Can someone provide the proof of the special case of Fermat's Last Theorem for

n=3

n=3

, i.e., that

x3 + y3 =

z 3

,

x3+y3=z3,

has no positive integer solutions, as briefly as possible?

I have seen some good proofs, but they are quite long (longer than a page) or use many variables. However, I would rather have an elementary long proof with many variables than a complex short proof.

Edit. Even if the bounty expires I will award one to someone if they have a satisfying answer.

Answer 2

Answer:

(ii) x=5/13, y=14/13

is the answer