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

Last Updated: 20.06.2025 04:22

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

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What are the main issues that have historically and currently divided Republicans and Democrats?

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

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

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

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Move the nub up to the top:

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?

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

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

(n - 1)(n + 1)

n^2 - 1

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n^2 - n + n - 1