Logo

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

09.06.2025 12:51

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

xxx x

(n - 1)(n + 1)

xxxx

Reddit sues Anthropic, alleging its bots accessed Reddit more than 100,000 times since last July - The Verge

xxx x

xxx

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

In Dan Muse, Penguins pick coach with uncommon resume, knack for development - TribLIVE.com

n^2 - n + n - 1

Move the nub up to the top:

xxx

UK civil servants who used AI saved two weeks a year, government study finds - Financial Times

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

xx

xxxx

Google’s NotebookLM now lets you share your notebook — and AI podcasts — publicly - The Verge

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

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

Does Donald Trump have low self-esteem?

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