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

11.06.2025 01:13

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

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n^2 - n + n - 1

n^2 - 1

So I’m getting piano lessons and my teacher wants me to get an upright piano instead of a keyboard. An upright piano is way above my price range, so what do I do? And what’s the difference between an upright piano and a keyboard?

(n - 1)(n + 1)

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

Do you think some men have sex with prostitutes because they're too afraid to talk to women? Money does the talking for them.

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

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

Move the nub up to the top:

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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