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

Last Updated: 25.06.2025 11:15

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

Move the nub up to the top:

n^2 - n + n - 1

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Derek Carr explains his decision to give up $30 million and retire - NBC Sports

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 some alternative ways to express gratitude or acknowledge thanks in English or French without using the phrases "thank you" or "you're welcome"?

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

n^2 - 1

(n - 1)(n + 1)

Do inmates experience boredom in jail? Can you provide an example of something an inmate might do for fun if they were bored?

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The Best Of Roots Picnic Made Up For The Absolute Worst - HuffPost

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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Frequent Nightmares Linked to Faster Aging and Premature Death - Gizmodo

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