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

14.06.2025 10:47

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

n^2 - n + n - 1

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

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Why are Republican politicians so afraid to oppose Trump?

(n - 1)(n + 1)

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There was this one weird Bollywood movie that was released in the 2000s. Amitabh Bachchan was starring with another actress and the story was about how the old guy (Amitabh Bachchan) fell in love with the young woman. What is the name of this movie?

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

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

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Why are girls supposed to have a stereotypical "hourglass" body shape, and why if you dont have an "hourglass" body shape you get treated differently? It doesnt make any sense to me.

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

n^2 - 1

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Move the nub up to the top: