Explanation:
Consider the case a = -1. Then the expression becomes ...
(-1+1)(-1+1) > (-1-1)(-1-1) . . . . test case
0·0 > (-2)(-2) . . . . . simplified a bit
0 > 4 . . . . . . . . NOT TRUE
_____
If we subtract the right side from both sides, the inequality becomes ...
(a+1)(a+1) -(a-1)(a-1) > 0
a² +2a +1 -(a² -2a +1) > 0
4a > 0
a > 0
The inequality is only true for positive values of "a". For a ≤ 0, the inequality will not be true.
