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

15.06.2025 06:14

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

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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My wife has a bunch of really attractive friends, and she expects me to never say anything to her about how beautiful they are. Does this seem fair? I love my wife, and just commenting shouldn’t hurt anything, right?

Move the nub up to the top:

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(n - 1)(n + 1)

Should any books be banned from school libraries? Why is it important for students to read certain books in school?

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

n^2 - n + n - 1

While on the surface of the moon, why isn’t the Apollo 11 spacesuit inflated like a balloon from the 3.7 psi internal pressure?

n^2 - 1

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Has Great Britain ever been considered a "hyper-power" like the United States or Russia are currently considered? If not, why?

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

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

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

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