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

Last Updated: 19.06.2025 02:13

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

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

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

My boyfriend always verbally abuse me and makes me cry. If I try to tell him how hurt I was, he says to me he loves me and can't hurt me but always abuse me. Why?

n^2 - 1

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(n - 1)(n + 1)

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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?"

n^2 - n + n - 1

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

Move the nub up to the top:

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