Why is (n-1)(n+1)=n^2-1?
Last Updated: 22.06.2025 23:48
xxx x
n^2 - 1
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
New rabies cases detected in SLO County. How to avoid deadly disease - San Luis Obispo Tribune
Move the nub up to the top:
So, that’s a rectangle with sides 2 and 4.
xxxx
Top 10 Cable TV Networks Most Likely to Shutdown As of June 2025 - | Cord Cutters News
(n - 1)(n + 1)
And you are left with almost a square. One less than the square of side n.
xxx x
xx
The basic answer is that you cross-multiply the values in each factor:
xxx
Minima tempora consequatur voluptas sequi aspernatur corporis.
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
xxx
xxxx
n^2 - n + n - 1