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

Last Updated: 30.06.2025 06:26

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

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(n - 1)(n + 1)

Did your siblings abuse you growing up? Not your parents, specifically your siblings, or other children in the household you were raised with.

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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

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

Which album is your favorite that's now 50 years old (from 1975), and what's the best song on the album?

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

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

Atheists who said that reading the Bible made them an atheist, how? Literally there are millions of people who read the Bible daily and still believe in God. So why say that? I mean unless you want to sound smart & edgy

Move the nub up to the top:

n^2 - n + n - 1

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n^2 - 1

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