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

08.06.2025 01:25

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

n^2 - n + n - 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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Why do I randomly start sweating a lot in public (while waiting in line, in a new class, etc.) then start sweating more because I’m embarrassed that I’m sweating so much? Is this social anxiety?

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n^2 - 1

Do snipers lay on top of tank turrets during combat?

Move the nub up to the top:

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

What is the reason for The Acolyte (2024 series) having poor reception among Star Wars fans?

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

(n - 1)(n + 1)

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When British people write X after everything, are they being serious or trying not to be awkward?

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

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Why does my 5-year-old daughter keep repeating the words 'they will come for us, they will find us and touch us'? I'm quite scared.

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