Why is (n-1)(n+1)=n^2-1?
10.06.2025 02:24

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
n^2 - 1
xxx x
Canadian Robot Finds a Weight Beneath the Ocean Equivalent to 250 Million Elephants - Jason Deegan
xxx x
n^2 - n + n - 1
The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2
What should I do to stop being angered easily?
(n - 1)(n + 1)
The basic answer is that you cross-multiply the values in each factor:
xxxx
So, that’s a rectangle with sides 2 and 4.
xxx
Move the nub up to the top:
Make-A-Wish helps Tacoma cancer patient fulfill dream of giving back to fellow children - KOMO
xx
xxx
And you are left with almost a square. One less than the square of side n.
xxxx