Why is (n-1)(n+1)=n^2-1?
Last Updated: 22.06.2025 09:56
Move the nub up to the top:
xx
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
So, that’s a rectangle with sides 2 and 4.
xxxx
Why don't I get sleep at nights?
And you are left with almost a square. One less than the square of side n.
n^2 - 1
xxxx
Hundreds of Mysterious Giant Viruses Discovered Lurking in The Ocean - ScienceAlert
xxx x
n^2 - n + n - 1
xxx
Why is there a housing crisis in Europe?
xxx x
(n - 1)(n + 1)
The basic answer is that you cross-multiply the values in each factor:
What are some sex stories from your college days?
xxx