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

10.06.2025 19:00

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

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

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

Why do I (45, male) feel like I'm crushing on a girl (19, female)?

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

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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

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How do we write and pronounce "it's my pleasure" in Italian?

Move the nub up to the top:

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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How do you complete “Ciao bell'uomo, come stai oggi, buongiorno signore, sono Jennifer Rose Louis, come ti chiami”?

n^2 - 1

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Why are men ridiculously delusional in the women they want/approach? I'm not a troll. This is a real question. Why does a fat, pot bellied, unkempt, balding, stupid (ergo poor) man, tell a woman above his league that she isn't hot enough for him?

(n - 1)(n + 1)