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

Last Updated: 17.06.2025 02:59

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

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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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?

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(n - 1)(n + 1)

What is the process of becoming an Evangelical preacher? Is attending seminary school necessary? How long does it typically take? Is it financially challenging?

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n^2 - n + n - 1

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Move the nub up to the top:

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

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

How do you leave a relationship when you are still in love?

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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

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What is the sum of X+XX+XXX+XXXX?

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