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

16.06.2025 00:29

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

xx

(n - 1)(n + 1)

xxx x

What contributed to the popularity of The Beatles' song 'Yesterday'? Was it due to its simplicity, lyrics, or other factors?

Move the nub up to the top:

xxxx

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

When I buy a house, do I automatically own all items the previous owner failed to remove from the property?

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

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

xxx x

Am I the bitch for never wanting to talk to my sister again because of something she said while talking back to me?

n^2 - 1

xxx

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

Why do some people hesitate to say 'I love you' even after their partners have said it first? How can one interpret this behavior from their loved ones?

xxxx

xxx

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

Teens like me, what are your expectations when entering adulthood?

n^2 - n + n - 1