Logo

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

10.06.2025 10:55

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

xx

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

xxx

Alaska’s former chief medical officer resigns from CDC post as federal agency faces turmoil - Anchorage Daily News

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

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

xxx x

A misplaced MRI found a tumor on her spine. Doctors removed it through her eye in a first-of-its-kind surgery. - CBS News

xxxx

xxx

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

UFC 316 results: Kayla Harrison finishes Julianna Peña, squares off with Amanda Nunes - MMA Junkie

(n - 1)(n + 1)

xxx x

xxxx

Why does NASA's Perseverance rover keep taking pictures of this maze on Mars? - Space

Move the nub up to the top:

n^2 - n + n - 1

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

My ex moved on so fast. How can I overcome the pain?

n^2 - 1