Answer :
Answer:
Let x be an integer.
x² + (x + 1)² = x² + x² + 2x + 1
= 2x² + 2x + 1
= 2x(x + 1) + 1
2x(x + 1) is always an even integer, so 2x(x + 1) + 1 is always an odd integer.
Answer:
Let x be an integer.
x² + (x + 1)² = x² + x² + 2x + 1
= 2x² + 2x + 1
= 2x(x + 1) + 1
2x(x + 1) is always an even integer, so 2x(x + 1) + 1 is always an odd integer.