Why is (n-1)(n+1)=n^2-1?
10.06.2025 00:49

xxxx
xxx
xxxx
Scientists Crack 30-Year Mystery Behind “Holy Grail” Cancer Drug - SciTechDaily
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.
n^2 - n + n - 1
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xx
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
Doritos, Cheetos, M&Ms and other popular snacks will soon have warning labels in Texas - KHOU
(n - 1)(n + 1)
xxx x
Move the nub up to the top:
Logan Gilbert sees velocity dip in rehab start | Mariners injury updates - The Seattle Times
xxx x
n^2 - 1
xxx
‘Resident Evil Requiem’ Sets February 2026 Release From Capcom - Variety
The basic answer is that you cross-multiply the values in each factor: