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

Last Updated: 22.06.2025 08:56

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

n^2 - n + n - 1

xxx x

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

How did the pre US Civil War southern fire- eaters manage to so wildly miscalculate the consequences of secession?

n^2 - 1

xxxx

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

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

xxx

Move the nub up to the top:

xxx x

Gut Microbiota Transplants May Cause Long-Term Imbalance - Neuroscience News

xxxx

(n - 1)(n + 1)

xxx

Iusto et ipsum nesciunt est qui.

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

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

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

I told my 13-year-old daughter that she should never start a fight, but has my permission to end it. She got suspended for ending a fight that some other girl picked with her by hitting her then retreating. How do I handle the school’s response?

xx