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

Last Updated: 16.06.2025 10:15

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

Why won't my mom let me come home if I'm homeless?

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.

n^2 - 1

Do you ever feel like you are doing good, but would do better if people hadn’t blamed you or even bothered you? I have gotten lonely, but I always am up to something (creating my destiny).

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

n^2 - n + n - 1

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My wife admitted to cheating on me with a married man. Should I tell this man and his wife that I know?

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Move the nub up to the top:

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If I get served by someone else's papers, am I legally required to inform the person that they got served, or the court that they served the wrong person?

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Why didn't Taylor Swift do Taylor Swift (Taylors version)?

(n - 1)(n + 1)