Logo

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

10.06.2025 08:08

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

xxxx

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.

Dakota Johnson shows Chris Martin what he's missing post-breakup in completely sheer ensemble - Page Six

xxx x

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 - 1)(n + 1)

Bill Oram: Seriously, who is going to beat the Beavers? - OregonLive.com

n^2 - 1

xxxx

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

Why has Biden pulled ahead in battleground states and is now projected to win the 2024 presidency?

n^2 - n + n - 1

xxx

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

New $800 Blood Test Measuring Proteins to Reshape Longevity and Personalized Medicine - Business Insider

Move the nub up to the top:

xx

xxx

How can we become the best humans? How can we trust each other?

xxx x