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

11.06.2025 02:31

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

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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Move the nub up to the top:

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

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(n - 1)(n + 1)

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Jennifer Garner reveals her secrets to being 53, flirty, and thriving in candid interview - New York Post

n^2 - 1

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

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Its year 2041, and president Hunter Biden has ordered every republican who sweared at him to be arrested and shot. I am on my way to the death row listening to the cheer of the Liberal mob chanting death death death. How can I escape?

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

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

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Are you more of a butt guy or a boob guy?

n^2 - n + n - 1