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

13.06.2025 09:45

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

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I’m worried I have a bat bite on my hand, I have two small marks about 1 cm apart. I haven’t been in contact with a bat but I’m worried about at night. My fingers have a slight tingling sensation and my arm feels cold but isn’t. Am I ok?

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

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

When British people write X after everything, are they being serious or trying not to be awkward?

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

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

Why do some people have loving parents and some do not?

Move the nub up to the top:

(n - 1)(n + 1)

n^2 - n + n - 1

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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?

n^2 - 1