Logo

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

Last Updated: 23.06.2025 00:28

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

n^2 - 1

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

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

Saturday Citations: Reality vs. imagination; rhinos vs. poachers; mathematics vs. the Big Bang - Phys.org

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

xx

Move the nub up to the top:

Do you know a good lawyer joke?

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

xxx

xxxx

Read the memo: Google cracks down on RTO mandate and offers buyouts to some US-based employees - Business Insider

(n - 1)(n + 1)

n^2 - n + n - 1

xxx

Ad eveniet eaque et magni illum.

xxx x

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

xxxx

Are romance novels of today still allowed to be bodice rippers, or do publishers not allow this sort of romance genre to exist anymore?

xxx x