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

Last Updated: 17.06.2025 14:45

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

n^2 - 1

(n - 1)(n + 1)

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How do atheists explain the fact that when I pray to God, I feel better and I get a feeling of comfort? Doesn’t this prove that a God exists?

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Why cant I sleep even tho I am sleepy? I am not anxious or worried but my body just doesn't want to. I've been awake for almost 2 days and feel sleepy but I cant sleep. My doctor said its anxiety related but its not. Is this normal?

Move the nub up to the top:

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Have you ever had a weird experience immediately following the death of a loved one that made you think there is an afterlife and that the deceased person was communicating with you?

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

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Why are American university students fine with sharing a room?

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.

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

What disturbed you today?

n^2 - n + n - 1