Question

prove fermat's last theorem:no three positive integers a, b, and c satisfy the equation a^n + b^n = c^n for any integer value of n greater than 2

Answer 1

The proofing of Fermat's last theorem shows that y = a² - b², z = a² + b² and x = 2ab.

How to prove fermat's last theorem?

The equation x² + y² = z². We can assume that x, y, and z are positive and relatively prime. Suppose that x is even. Then:

(z - y/2)(z + y/2) = (x/2)²

Hence,

(z - y)/2 = b²

(z + y)/2 = a²

Then, y = a² - b², z = a² + b² and x = 2ab.

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