Logo

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

10.06.2025 06:47

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

So, that’s a rectangle with sides 2 and 4.

xxx x

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

Nintendo Switch update 20.1.1 out now, patch notes - Nintendo Everything

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

n^2 - n + n - 1

xxxx

10 quotes about science’s value to society - Big Think

Move the nub up to the top:

The basic answer is that you cross-multiply the values in each factor:

xxxx

Patriots decline to say whether Stefon Diggs has passed key physical in contract - NBC Sports

xxx

(n - 1)(n + 1)

xxx x

Tahini Is The High Protein Food You Can Eat Every Day—With Almost Everything - Vogue

n^2 - 1

xxx

xx

Southwest Floats First Class, Lounges, Long Haul Flying: Good Strategy? - One Mile at a Time

And you are left with almost a square. One less than the square of side n.