Logo

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

Last Updated: 26.06.2025 02:42

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

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

(n - 1)(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

Molestiae quas aut aut quisquam eum aut.

n^2 - 1

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

xxx

An Optometrist Is Begging People To Stop This Common Habit ASAP - AOL.com

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

xxxx

xxx

What do you wear when you are alone at home?

xx

xxxx

n^2 - n + n - 1

New study finds strong link between hearing loss and dementia - WKRC

xxx x

Move the nub up to the top:

xxx x

New theory could finally make ‘quantum gravity’ a reality – and prove Einstein wrong - BBC Science Focus Magazine

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