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

13.06.2025 08:35

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

(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

Unseen Asteroids, Hidden Comets, and More: A New Observatory Is About to Expose Millions of Cosmic Mysteries - The Daily Galaxy

xxx x

xxxx

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

Why is Jack Smith arguing that presidents should not have full immunities as Trump is requesting?

xxx x

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.

What do you think of the controls that will be set up over information flows at Taiwan's Ministry of Foreign Affairs' missions?

Move the nub up to the top:

n^2 - 1

xxx

Is there a type of function where every point has exactly one tangent line passing through it? If yes, what is this type of function called?

xxx

xx

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

The 'Japanese Walking' Fitness Trend Has Science-Backed Benefits - ScienceAlert

n^2 - n + n - 1

Read also: