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

Last Updated: 23.06.2025 04:47

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

(n - 1)(n + 1)

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

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

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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

Is it true that Trump is threatening Europeans and Canadians with even more tariffs if they retaliate against the US?

n^2 - 1

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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

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Why do men love swallowing more then women? Is it just because women just don't try eating CUM? they be missing some delicious CUM.. Life is short and women are missing out of lots of enjoyment..

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n^2 - n + n - 1

Move the nub up to the top:

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