Why is (n-1)(n+1)=n^2-1?
10.06.2025 08:16

(n - 1)(n + 1)
n^2 - 1
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Trump administration prepares to ease big bank rules - Politico
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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
"People don't even like him": Musk becomes GOP pariah after "ridiculous" Trump attacks - Axios
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And you are left with almost a square. One less than the square of side n.
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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Wall Street sets Palantir stock price for next 12 months - Finbold
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Move the nub up to the top:
Do older women know what they want?
The basic answer is that you cross-multiply the values in each factor: