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

10.06.2025 03:42

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

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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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n^2 - 1

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

n^2 - n + n - 1

Everyone says the pet population is out of control. Everyone says you MUST spay or neuter your pets. No one wants to talk about how its almost $1,000 to spay or neuter a pet. Why is it so expensive if its so necessary? Animal shelters do it for free.

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

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What did someone say to you that instantly made you realize their life was in danger?

Move the nub up to the top:

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(n - 1)(n + 1)

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Why are girls supposed to have a stereotypical "hourglass" body shape, and why if you dont have an "hourglass" body shape you get treated differently? It doesnt make any sense to me.

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