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

Last Updated: 23.06.2025 12:42

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

n^2 - n + n - 1

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

Why do I smell bad even though I have good hygiene?

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Putin's uncompromising demands emerge after the latest round of Russia-Ukraine peace talks - AP News

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

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

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

As a woman, what would be you response to a male friend’s offer of a full body massage?

(n - 1)(n + 1)

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Move the nub up to the top:

When a black man and a white woman have a child, does the child become white? If a white man and a black woman have a child, does the child become black?

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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Why do men always bring up “the draft” (the last military draft was in 1972) when abortion rights are being discussed? - are they advocating that women ought to owe our bodies to the government? Should anyone owe their body to the state?

n^2 - 1