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

16.06.2025 04:01

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

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

Move the nub up to the top:

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Is it common for people to fall in love with someone else while still married? If so, why do they choose to stay in their marriage?

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

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Why do Puerto Ricans come to this country flying their flags over in the United States all over their cars? They're so proud of their country. Why are they here?

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(n - 1)(n + 1)

Why are black people harassed more by police officers?

n^2 - n + n - 1

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

I told my 13-year-old daughter that she should never start a fight, but has my permission to end it. She got suspended for ending a fight that some other girl picked with her by hitting her then retreating. How do I handle the school’s response?

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2

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

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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?

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