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

Last Updated: 22.06.2025 06:32

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

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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.

I wore a Trump hat to a doctor’s visit. The doctor made a strange comment, he was obviously on the opposite political point that make me uncomfortable. What shall I do on my next visit?

(n - 1)(n + 1)

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

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Re-ranking the 16 super regional teams in the 2025 NCAA baseball tournament - NCAA.com

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n^2 - 1

n^2 - n + n - 1

Why do trans people get so deeply offended when a stranger misgenders them, especially when it's a first encounter? I've been socially transitioned for 4 years and it just feels like a waste of energy to be so hurt by it.

Move the nub up to the top:

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

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Is there any concrete proof that LED face masks actually work?

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What are the advantages of using plastic straws over metal or glass straws when drinking carbonated beverages? Is there a noticeable difference in taste?

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