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

Last Updated: 16.06.2025 04:50

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

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

Why are so many people anti-Trump? People didn't like Obama either, but he was the president, so people didn't do this. What makes Trump different?

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

Move the nub up to the top:

n^2 - n + n - 1

If Trump were to lose in 2024, would that be the end of his grip on the Republican Party?

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 - 1)(n + 1)

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Why are white men so obsessed with Asian women? I'm friends with people from all different backgrounds but I never see my other non-white male friends obsess over or talk about Asian women like I've seen the white ones do.

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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

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

How do I rat my boss out for serial cheating on his wife?

n^2 - 1