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

13.06.2025 02:14

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

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

Did Leonardo da Vinci paint two Mona Lisas? Where are they?

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

(n - 1)(n + 1)

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

Why do I sweat so much after shower?

Move the nub up to the top:

n^2 - 1

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How do I get my body in shape?

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n^2 - n + n - 1

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

Hillary thinks we must censor or "we lose total control". Why does she demand total control?

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Anthropic researchers predict a ‘pretty terrible decade’ for humans as AI could wipe out white collar jobs - Fortune

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