Why is (n-1)(n+1)=n^2-1?
Last Updated: 20.06.2025 05:02
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
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.
xxx
Move the nub up to the top:
n^2 - n + n - 1
Why does my vagina and around my butthole itch? I don't have weird discharge and I'm still a virgin.
xxx x
xx
xxx
(n - 1)(n + 1)
The basic answer is that you cross-multiply the values in each factor:
So, that’s a rectangle with sides 2 and 4.
Do you remember one day, you put a deep smile on someone's face and made them very happy?
n^2 - 1
xxx x
xxxx
Why do I feel so lazy every time I get into my room?
xxxx