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

Last Updated: 28.06.2025 08:29

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

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

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

Move the nub up to the top:

Israeli aggression in the Middle East has reached dangerous levels, foreshadowing devastating regional conflicts. How has President Trump contributed to this destructive chaos?

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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

n^2 - 1

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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?

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(n - 1)(n + 1)

n^2 - n + n - 1

Is it because Trump is impulsive that he is never on time?

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

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