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

Last Updated: 17.06.2025 07:34

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

n^2 - n + n - 1

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:

The International Boxing Association said that Khelif and Lin competing in Paris Olympics were disqualified from the tournament for testing positive for XY chromosomes which give an unfair advantage in the women’s division. What do you think?

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

Is it okay or problematic to be both Black and gay in society in the 21st century?

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Why am I dreaming of people I've never seen before?

Move the nub up to the top:

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

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What is the funniest joke you've been told that you still think about to this day?

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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(n - 1)(n + 1)

What do you think of the controls that will be set up over information flows at Taiwan's Ministry of Foreign Affairs' missions?

n^2 - 1