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

13.06.2025 11:25

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

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

Why am I peeing so much without drinking a lot of water? I checked my blood sugar and it is normal. Could it be something else?

(n - 1)(n + 1)

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

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Does Donald Trump have low self-esteem?

n^2 - 1

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Can you turn 150 pages into a 5 minute presentation before a meeting?

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

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

What are the best examples of reverse psychology?

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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

Move the nub up to the top:

How many trans people are lawful gun owners?

n^2 - n + n - 1