Why is (n-1)(n+1)=n^2-1?
12.06.2025 01:46

xxx x
xx
xxx
Reds star Elly De La Cruz homers after learning of the death of his sister - AP News
xxxx
And you are left with almost a square. One less than the square of side n.
xxx x
What was Easter day like for you as a child?
n^2 - n + n - 1
So, that’s a rectangle with sides 2 and 4.
The basic answer is that you cross-multiply the values in each factor:
'Mission: Impossible 8': Inside How They Shot Underwater Submarine - IndieWire
(n - 1)(n + 1)
xxx
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
A runway under construction at Newark's beleaguered airport reopens early - NPR
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 - 1
Move the nub up to the top:
'I’m Going Back Out': Jake Knapp Wills His Way Into UNC Postseason History - 247Sports
xxxx