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

12.06.2025 07:06

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

n^2 - 1

Are you offended if Democrats call Republicans "weird"?

n^2 - n + n - 1

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Why do some people dislike rap and hip hop music despite there being poor quality music in every genre?

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:

(n - 1)(n + 1)

Do you believe that the portrayal of smoking in films and music videos contributes to the glamorization of cigarettes in society?

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

Why do men like to have sex with a woman's ass?

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

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What are some prime examples of gibberish from the bible?

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