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

Last Updated: 19.06.2025 01:11

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:

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Why do some women alter their faces by so-called cosmetic surgeries (on their eyes, cheeks, lips, chin, jaw) that making them look like Donald Duck or puffy aliens, while for most men these unnatural facial changes are ridiculous or even disgusting?

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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

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

What are some of the differences between the Democratic and Republican parties? What policies does each party advocate for? What groups do these parties usually represent?

n^2 - 1

n^2 - n + n - 1

Move the nub up to the top:

Have you ever secretly watched someone while they were doing something private?

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

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

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What is the best technique for inserting a tampon into one’s anus?

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(n - 1)(n + 1)

Do airline pilots try to avoid turbulence? How can you tell if your flight has been rerouted due to weather conditions or other factors?

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