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

11.06.2025 02:22

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

(n - 1)(n + 1)

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

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

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n^2 - 1

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I committed the unpardonable sin. God immediately punished me so that I can no longer think like before and my brain is as if paralyzed and does not work. I've tried everything (confession, repentance, etc.) nothing helps. Any advice?

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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

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n^2 - n + n - 1

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

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Jenny from Perth writes – my partner is the life of the party, women and men adore him. But at home, he gets angry at us for the silliest reasons and never nice words me or our kids, always putting us down. Should I stay or leave him?

Move the nub up to the top:

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