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

12.06.2025 01:47

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

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

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Move the nub up to the top:

Why are there posts saying the T in LGBT should be dropped? With what is happening in the US and beyond against the trans community cause for concern that if this is accepted could it be deemed acceptable to start on the LGB community again?

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n^2 - 1

Why is Reagan seen as the best president in the USA when he literally destroyed the American economy with trickle down system and was strongly against worker unions?

(n - 1)(n + 1)

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n^2 - n + 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

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

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

What is the craziest thing that you've ever witnessed?

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