Logo

Why is (n-1)(n+1)=n^2-1?

08.06.2025 08:55

Why is (n-1)(n+1)=n^2-1?

xxx x

xxx

xxx x

How did the DMK alliance manage to keep the BJP out of Tamil Nadu politics all these years? Is the picture now changing in Tamil Nadu after the entry of Annamalai?

Move the nub up to the top:

xxx

(n - 1)(n + 1)

How do I become an intelligent man?

n^2 - 1

xxxx

So, that’s a rectangle with sides 2 and 4.

What is the irony of life according to you?

The basic answer is that you cross-multiply the values in each factor:

xxxx

xx

Who are the archers in Genesis 49:23?

And you are left with almost a square. One less than the square of side n.

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

Why are people becoming increasingly hostile to pro-lifers? I am pro-life.

If you cut off the end of that rectangle, you make it smaller, 2 * 3 and a separate nub of size 1 * 2