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

12.06.2025 03:19

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

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(n - 1)(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

Why do I sweat so much at the gym?

n^2 - 1

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Magnetic fields appear to be as old as the universe itself. What created them? - Space

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

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Move the nub up to the top:

Why am I so afraid that gun owners have set traps to kill me outside my house or my car?

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

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

What are your darkest taboo confessions?

n^2 - n + 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

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Why The Simpsons stopped producing Maude Flanders episodes?

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