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

14.06.2025 17:57

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

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What shouldn't you Google?

(n - 1)(n + 1)

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

n^2 - n + n - 1

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Are democrats inherently stupid or just lazy? They can Google " Ohio is investigating reports by residents that migrants are eating the local wildlife " why can't they seem to do the most simple things? Blind, ignorant, stupid or obtuse?

n^2 - 1

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

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Why can't NASA just bite the bullet and launch a plainly simple mission, audited by flat earther peers start to finish that definitively proves to even the smallest minds that the earth is an oblong spheroid, and not flat?

Move the nub up to the top:

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

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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