Logo

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

15.06.2025 00:06

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

n^2 - n + n - 1

xxx x

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

Why does Russia and many parts of Eastern Europe strangely have a high percentage of female doctors and physicians (~70%)?

xxxx

The more direct answer is to look at a rectangle with sides of n + 1 and n - 1, let’s go with n = 2

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

What is your opinion on the band Nickelback? Why do they receive criticism from some people?

xx

(n - 1)(n + 1)

xxx

What are the most significant instances of romantic jealousy in the Harry Potter series?

Move the nub up to the top:

xxx

xxxx

What are the potential economic consequences of the U.S. following Europe's lead on climate policies, as discussed in the article?

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

xxx x

n^2 - 1

As a friend of Megan's who also watches Suits, would you advise her not to return to the show in order to protect her character's reputation?

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