The difference between the square of any two integers is equal to the sum of the integers.
Let x be the first integer and the next integer will be x+ 1.
The difference in the square of the integer will be
(x+1)² - x²
=( x+1)(x+1) - x²
= (x² + x + x + 1) - x²
= x² + 2x + 1 - x²
= 2x + 1
The addition of the integers will be
x + x + 1 = 2x + 1
Therefore;
2x + 1 = 2x + 1
Therefore, The difference between the square of any two integers is equal to the sum of the integers.