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

Last Updated: 27.06.2025 04:48

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

n^2 - n + n - 1

xxxx

xxx

Buried for 16 Million Years, Scientists Unearth a Prehistoric Spider So Big, It Might Have Stalked Dinosaurs - Indian Defence Review

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

(n - 1)(n + 1)

n^2 - 1

13 Cool New Gadgets to Keep on Your Radar - Gear Patrol

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

xxx x

Is it accurate to say that while Donald Trump has "America First" policy, the Democratic Party has "Other nations first" policy?

Move the nub up to the top:

xxxx

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

Why are Democrats opposed to restrictions on contraception such as requiring people to be over 18 to buy contraception, banning mail order contraception, and requiring a prescription from a doctor?

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

xxx x

xx

If Trump were to lose in 2024, would that be the end of his grip on the Republican Party?

xxx