Why is (n-1)(n+1)=n^2-1?
11.06.2025 05:14
If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2
xxx x
n^2 - n + n - 1
How do I express sarcasm in non-dialogue text when writing a fiction novel?
And you are left with almost a square. One less than the square of side n.
xxx
n^2 - 1
Why should you never do drugs? Will this story absolutely shock you?
So, that’s a rectangle with sides 2 and 4.
Move the nub up to the top:
xxx
Oy: United Jet Flies Wrong Route Departing SFO, Causes Near Disaster - One Mile at a Time
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 - 1)(n + 1)
xxxx
Job openings rise in middle of trade wars, but businesses are slower to hire - MarketWatch
xxx x
xxxx
The basic answer is that you cross-multiply the values in each factor:
xx