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

12.06.2025 04:48

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

(n - 1)(n + 1)

Move the nub up to the top:

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

What is the problem between Turkey and Greece?

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.

What are your thoughts on the trend of Americans labeling themselves as "TikTok refugees" and migrating to the Chinese social media platform RedNote (Xiaohongshu)?

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

n^2 - n + n - 1

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‘We’re right at the epicenter’ - Meduza

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

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n^2 - 1