Logo

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

12.06.2025 00:10

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

n^2 - 1

Move the nub up to the top:

xxxx

Chairman Comer Subpoenas Dr. O’Connor Over Cover-Up Of Biden’s Mental Decline - United States House Committee on Oversight and Accountability - (.gov)

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

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

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

Sweden’s Maja Stark wins U.S. Women’s Open for first major championship - NBC Sports

(n - 1)(n + 1)

n^2 - n + n - 1

xxx x

Have you ever heard of the god Priapus being the same as the god Phosphorus?

xx

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

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

Sorry, Trump supporters, but eventually it will have to be asked: Why didn't Trump do as well in his first term as he is doing NOW?

xxx

xxxx

xxx

How is the story of Rukmini Devi described in the Harivamsha, Rukminisha Vijaya and Shrimad Bhagavatam?

xxx x