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

Last Updated: 20.06.2025 00:53

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

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(n - 1)(n + 1)

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Are rich people harder workers than poor people as a whole?

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

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

— we are metamorphosing!

n^2 - 1

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Move the nub up to the top:

Do you ever feel like you are doing good, but would do better if people hadn’t blamed you or even bothered you? I have gotten lonely, but I always am up to something (creating my destiny).

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Why doesn't speeding significantly decrease one’s commute time? I've done a lot of road trips and driving and have experimented by increasing speed by 10–20%, but somehow this never equates to arriving 20% sooner, even on clear roads.

n^2 - n + n - 1

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

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

Why was Boromir corrupted by the One Ring, but not Faramir in The Lord of the Rings?

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