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

Last Updated: 26.06.2025 02:01

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

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

xx

n^2 - n + n - 1

The Louvre, the world’s most-visited museum, shuts down to sound the alarm on mass tourism - PBS

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

xxxx

xxx x

What are your thoughts on Vivek Ramaswamy and Elon Musk wanting to give tech jobs to foreign workers instead of American workers?

Move the nub up to the top:

xxxx

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

Scientists Just Discovered a Lost Ancient Culture That Vanished - 404 Media

(n - 1)(n + 1)

n^2 - 1

xxx x

2025 U.S. Open odds, predictions: Top picks, props, longshots and PGA golfers to fade this week - SportsLine

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

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

How do you say "I don't speak French yet, but I hope to speak it well one day. It would be a pleasure to learn French with you. Would you like to teach me French?" in French? Could you add audio?

xxx