Question

prove that if a and b are odd positive integer a²+b² is even integer?

Answer 1

a and b are the odd positive integers.
a^2 is an square of odd integer that is also a odd integer.
Similarly, b^2 is an square of odd integer that is also a odd integer.
We know,
The sum of two odd number is always a positive integer.
So, a^2 + b^2 is an even number.
Proved...