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

16.06.2025 00:58

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

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

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

Is it true that schizophrenia can sometimes be a demonic attack or black magic?

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To a flat Earther, what's wrong with the idea that gravity is simply a force inherent to space which operates only in one dimension? Why do they go further and try to deny gravity rather than just saying it's different than physicists claim?

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

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

n^2 - 1

When North Koreans visit other countries for the Olympics, what stops some of them fleeing away into that host country?

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(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

Atheists who have read the Bible and think that contains immoral things, why do you assume that?

n^2 - n + n - 1

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Does the interpretation of the Book of בראשית create in all generations the Chosen Cohen People יש מאין?

Move the nub up to the top: