Logo

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

11.06.2025 01:59

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

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

n^2 - 1

xxx

Why do guys have better skin than women even though women use more product?

xxxx

xxxx

xx

How did you react when your doctor ordered a colonoscopy?

xxx

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 - 1)(n + 1)

Why are Trump's and Khan's experiences with authorities in the US and Pakistan similar?

Move the nub up to the top:

xxx x

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

Nuclear rocket engine for Moon and Mars - European Space Agency

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

n^2 - n + n - 1

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

Walmart Takes Flight With Drone Delivery Expansion to Five New Cities, Redefining Fast, Flexible Retail - Walmart

xxx x