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

Last Updated: 24.06.2025 04:15

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

Move the nub up to the top:

n^2 - n + n - 1

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My friend asked my crush and he said my crush hates me but not in a rude way. What does that mean?

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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

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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.

Rich people actually spend a whole lot, but the market is the market and there is only one price for the same item and it is much easier for the rich to buy it or lease it or rent it because its expensive to be poor. So why do people have such ideas?

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

(n - 1)(n + 1)

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n^2 - 1