Logo

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

12.06.2025 05:40

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

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.

xxx

Two Galaxy Clusters Are on a Collision Course, NASA’s Chandra X-Ray Observatory Reveals - The Daily Galaxy

xxx x

(n - 1)(n + 1)

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

Further delays of Starliner’s next flight mark anniversary of its first crewed Space Station docking - Spaceflight Now

xxx x

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.

Why does my mom never wear underwear?

xxxx

n^2 - n + n - 1

n^2 - 1

Millions of Eggs Recalled After CDC Ties Them to a Massive Salmonella Outbreak Across 9 States - Food & Wine

Move the nub up to the top:

xxxx

xx

Mayor of Palmer Lake resigns amid controversy surrounding proposed Buc-ee’s location - KRDO

xxx