please explain the fermat's last theorem to me.......?

Question

it would be very helpful if you answer me with examples.......

Answer 1

Fermat's Last Theorem states that, for integers numbers x, y, and z

x^n + y^n = z^n has no non-zero solutions for n > 2.

Note that x^2 + y^2 = z^2 has many integer solutions (known as Pythagorean triples).

3^2 + 4^2 = 5^2

5^2 + 12^2 = 13^2

What Fermat's Last Theorem is saying is that you'll NEVER find integer solutions for

x^3 + y^3 = z^3

and any other value greater than 2.

Answer 2

Fermat states that the equation

x^n+y^n= z^n has NO solution with natural numbers if n>2
for n = 2 you have for example x=3 y=4 z=5.
This theorem has been proven only about ten years ago.
,even as Fermat was born August 20 year 1601 in France
Obviously we exclude 0 as solution