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

14.06.2025 03:57

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

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

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

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 are some difficulties in a JEE aspirant's life?

xxxx

xxx

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

World-First: Scientists Capture a Rare Lightning-Triggered Gamma-Ray Burst - SciTechDaily

n^2 - n + n - 1

xxxx

xxx x

What are some of the differences between the Democratic and Republican parties? What policies does each party advocate for? What groups do these parties usually represent?

xxx

xx

xxx x

Why is there so much evil in the world?

n^2 - 1

Move the nub up to the top:

(n - 1)(n + 1)

Why do women stubbornly refuse to let men lead, even though they are attracted to the man, and the man both loves and desires them? Why do they get angry and blame the man when he gets fed up and walks away, when it's entirely their own fault?

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