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

12.06.2025 03:39

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

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

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(n - 1)(n + 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

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Why did the massacre of al-Dawayima Palestinian residents not have the same reverberations as the Deir Yasin massacre?

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

n^2 - n + n - 1

n^2 - 1

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?

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

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Move the nub up to the top:

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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