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

Last Updated: 20.06.2025 07:30

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

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

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

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Summer here, the one who debunks atheism. Isn’t it funny how atheists always say they prefer a “no-nonsense, evidence-based approach” to understanding the world, but when I bring up logical arguments for theism, they suddenly clam up?

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n^2 - 1

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

Move the nub up to the top:

Is anyone else losing complete respect for the US at this point?

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(n - 1)(n + 1)

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

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n^2 - n + n - 1

Why has Biden pulled ahead in battleground states and is now projected to win the 2024 presidency?

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