Why is (n-1)(n+1)=n^2-1?
11.06.2025 00:00

xxx
xxxx
xxx
New Research Reveals the Brain Learns Differently Than We Thought - SciTechDaily
xx
And you are left with almost a square. One less than the square of side n.
So, that’s a rectangle with sides 2 and 4.
India to Open Flagship EV Making Policy to Lure Global Giants - Bloomberg
(n - 1)(n + 1)
xxxx
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxx x
The basic answer is that you cross-multiply the values in each factor:
How good do you sing and how do you know this?
Move the nub up to the top:
xxx x
n^2 - 1
A former police chief who escaped from an Arkansas prison is captured - NPR
n^2 - n + n - 1