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

14.06.2025 10:41

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

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

Move the nub up to the top:

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Is there a possibility that we are living in a simulation and that there is a concept of rebirth?

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

If Donald Trump is so evil and Joe Biden is so good why is Trump the one selflessly providing Bibles for the needy while Biden doesn't? Why doesn't Biden care for America's spiritually needy people as much as Trump?

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Have you ever had a weird experience immediately following the death of a loved one that made you think there is an afterlife and that the deceased person was communicating with you?

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

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

n^2 - n + n - 1

Im not transphobic/homophobic but, am I in the wrong for being uncomfortable when a trans person comes into the lockeroom? I just dont want them to stare at me while Im changing.

n^2 - 1