Why is (n-1)(n+1)=n^2-1?
Last Updated: 02.07.2025 04:37

xxx x
xx
Move the nub up to the top:
xxxx
xxx x
And you are left with almost a square. One less than the square of side n.
xxx
xxxx
xxx
So, that’s a rectangle with sides 2 and 4.
(n - 1)(n + 1)
n^2 - 1
Samsung sponsored runs hint at Galaxy Unpacked in New York City - SamMobile
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
n^2 - n + n - 1
The basic answer is that you cross-multiply the values in each factor:
Who is the most trusted person in your life, and do they have the same trust on you?
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2