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

Last Updated: 22.06.2025 09:49

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

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Move the nub up to the top:

n^2 - n + n - 1

How would you advertise if you wanted to be a "tour guide" who can take you through the dark web while warning you what not to look at and not to click on?

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

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

n^2 - 1

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

Why am I so jealous towards couples? Why am I tired of being single and feel my life is over?

(n - 1)(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

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Do you think a lot of sociopaths' parents kill themselves for having brought such disgusting evil into the world? How much shame and disgust must they carry?

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

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