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

10.06.2025 15:43

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

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

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n^2 - 1

Why do some people believe that Homelander would be no match for Superman or Thor?

Move the nub up to the top:

xxx x

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My boyfriend won’t tell me his past and it hurts me so I broke up with him what do I do?

(n - 1)(n + 1)

xxxx

xxxx

My blog is new. I need 10 article posts for my blog. How much should I pay for it?

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

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

How do so-called Religious/Christian people really think homosexuality is even a sin? That would be nonsense. In fact, LGBT people need love instead of contempt/hatred. The word Homosexual didn't appear until the 1850s.

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

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n^2 - n + n - 1

What does Jesus mean in Revelation 3:3 when He states, "Wake up! Strengthen what remains and is about to die, for I have found your deeds unfinished in the sight of my God?"

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