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

Last Updated: 03.07.2025 00:32

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

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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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n^2 - n + n - 1

(n - 1)(n + 1)

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Why isn't bestiality illegal in most states? If children can't consent, then animals DEFINITELY can't consent. Why is being a pedophile a crime but zoophilia is not?

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^2 - 1

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How can Democrats not feel hypocritical when they urge Trump not to be vengeful should be become president when the Democrats are trying to put Trump into prison?

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

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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Move the nub up to the top:

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