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

Last Updated: 21.06.2025 05:00

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

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:

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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.

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

Do women lack the mental strength to succeed at STEM? There seems to be few women at STEM and more women leave STEM after a time of working at it. How can it be just sexism if women aren't banned from entering?

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

Move the nub up to the top:

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(n - 1)(n + 1)

n^2 - 1

n^2 - n + n - 1

Why would a spouse cheat if the marriage is good?

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