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

Last Updated: 19.06.2025 14:34

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

xx

xxxx

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

Why do the Republican city officials at Springfield Ohio continue to deny that immigrants are eating pets to sabotage the Trump campaign, even though immigrant pet-eating is now widely believed to be true?

xxx x

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

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

LEGO Fortnite's Switch 2 Release Will Be Followed By A New Game Mode Next Week - Nintendo Life

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^2 - n + n - 1

xxx

California doctor to plead guilty to supplying Matthew Perry with ketamine - BBC

Move the nub up to the top:

xxxx

xxx x

Former Packers WR makes long touchdown in UFL championship - Acme Packing Company

(n - 1)(n + 1)

xxx

n^2 - 1

Guest column | Field notes from the end of life: My thoughts on living while dying - The Washington Post

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