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

12.06.2025 00:42

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

Move the nub up to the top:

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n^2 - n + n - 1

Ive been pretending to be okay and acting as normal as possible, but Im actually completely heartbroken after a recent breakup. Its painful and really affecting me, to the point where I cant concentrate at work, Ive lost my appetite, I cant sleep, and It feels as if my whole world has been turned upside down. I loved him so much. He said so many cruel things to me and it made me realize he must not have loved me the way I loved him, or he wouldnt have said such horrible things. How do I handle the heartbreak and why cant I accept that he didnt love me and just forget about him?

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

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(n - 1)(n + 1)

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Trump is going to target known criminals in the country illegally for deportation. The Democrats have vowed to fight him every step of the way. Don't they understand this is one of the issues that cost them the white house, the house and senate?

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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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Why does it matter so much to atheists that God doesn't exist?

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

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

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