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

12.06.2025 11:47

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

n^2 - 1

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Why are flat Earthers made fun of when they seemingly don't exist? I have only met one flat Earther in 18 years.

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

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

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What was the most inappropriate thing your parent caught you doing as a teen? Was in the bedroom, I thought nobody else was home. My sister and I shared that bedroom but I knew she was gone. I didn’t know my dad was home though.

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n^2 - n + n - 1

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

Do you think Lady Gaga and Celine Dion have rehearsed separately for their performance at the Olympics opening ceremony?

(n - 1)(n + 1)

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Has a cop ever said something to you which was completely unexpected?

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

Why would you think you're fit to be a model?

Move the nub up to the top: