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

Last Updated: 30.06.2025 10:23

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

(n - 1)(n + 1)

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Move the nub up to the top:

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n^2 - n + n - 1

Why do Americans and foreigners alike describe the USA as prudish? Why do I see nothing prudish about the USA society? USA feels like one of the loosest countries although Americans claim to be very reserved.

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

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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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?

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

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n^2 - 1

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

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How can we worship Shri Krishna at home? Is it enough to install an idol, or are there other rituals that are mandatory?

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