Logo

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

11.06.2025 00:00

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

xxx

xxxx

xxx

New Research Reveals the Brain Learns Differently Than We Thought - SciTechDaily

xx

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

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

India to Open Flagship EV Making Policy to Lure Global Giants - Bloomberg

(n - 1)(n + 1)

xxxx

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

49ers Sign WR Malik Knowles, Place WR Trent Taylor on IR, and Other Roster Moves - San Francisco 49ers

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

xxx x

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

How good do you sing and how do you know this?

Move the nub up to the top:

xxx x

n^2 - 1

A former police chief who escaped from an Arkansas prison is captured - NPR

n^2 - n + n - 1