Logo

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

11.06.2025 08:34

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

n^2 - n + n - 1

xxx x

xxxx

Do people really never face any hidden costs or surprises with surgeries in countries with single-payer healthcare like the NHS?

xxx

n^2 - 1

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

Former Red Sox All-Star Designated For Assignment One Day After Season Debut - NESN

xx

xxx x

xxxx

I’ve often wondered why fans aren’t deployed on GBBO during warm weather? I’ve seen too many desserts melt (and bakers too…). (I live in Pompano Beach and we try to use fans in lieu of AC as much as possible).

xxx

(n - 1)(n + 1)

Move the nub up to the top:

I just cannot wake up early, even if I sleep on time. What should I do?

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

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

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

David Jolly, a Trump critic and former GOP congressman, to run for Florida governor as a Democrat - AP News

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