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

Last Updated: 19.06.2025 18:24

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

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Move the nub up to the top:

What is your craziest/worst Halloween story?

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

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If Russia needs the resources to fund the war in Ukraine, why doesn’t it throw open its doors to visa free western tourism? Enough people would be interested, & it would start to get some hard currency as €, CHF, £, SEK, $, JPY in the tills at shops.

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

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I dreamt my mother had died and I cried so much in my dream. What does it mean?

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

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

(n - 1)(n + 1)

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n^2 - 1

n^2 - n + n - 1

When a black man and a white woman have a child, does the child become white? If a white man and a black woman have a child, does the child become black?

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