Logo

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

10.06.2025 05:10

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

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

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

xxxx

This Plant You’ve Never Heard of Can Do What Scientists Thought Was Impossible - SciTechDaily

Move the nub up to the top:

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

Backstage Report On WWE Raw Talent Being Discussed For Worlds Collide Appearance - Wrestling Inc.

xxxx

xx

xxx

Rangers Option Kumar Rocker - MLB Trade Rumors

n^2 - 1

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

xxx x

Can we trust the Bible when Constantine and the First Council of Nicaea took out many books of the Bible and altered existing translation by removing things?

xxx x

n^2 - n + n - 1

xxx

Geert Wilders: Dutch government collapses as far-right leader exits coalition - BBC

(n - 1)(n + 1)