However, -1 x -1 is positive 1, and not -1.
If (-1)x(-1), would equal -1
If (-1)×(-1) = -1
Then [(-1)+1][(-1)+1] = 0
(-1)(-1) + (-1)(1) + (1)(-1) + (1)(1) = 0
(-1) + (-1) + (-1) + 1 = 0
-2 = 0
math will fail!
Or another way is Humans must use the symbols - for positive numbers and + for negative numbers.
And that makes +1 < 0 < -1
Or another way is Humans must use the symbols - for positive numbers and + for negative numbers.
And that makes +1 < 0 < -1
My demonstration makes sense, yours does not.
Then if (-1)x(-1) equals -1, then (1+ -1)x(1+ -1) would be 1+-1+-1+-1 =-3 and not 0 ! which it is.