Logo

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

12.06.2025 01:33

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

xxx

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

xxxx

South Korea’s Venus-focused cubesat advances as larger missions face NASA cuts - SpaceNews

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

xxx x

xxx

Oil rallies as Russia-Ukraine tensions offset OPEC+ output hike - Investing.com

xx

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

n^2 - 1

What made Sally Field a standout choice for "Smokey and the Bandit" despite her reputation as a serious actress after "Sybil"?

n^2 - n + n - 1

xxxx

Move the nub up to the top:

Are Turks ashamed of their Islamic heritage?

(n - 1)(n + 1)

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

Algorithm to analyze smartphone app data can predict MS symptoms - Multiple Sclerosis News Today

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