Multiply. Express your answer in simplest form.

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Alright so n represents a number. 3n means that that numbness has been multiplied by 3. 3n = 3 times n. It’d be -14, -13, -12, -11 etc etc all the way up to 6. It’s saying that 3n can’t be -15 but it can be 6 because the line under the arrow means equal to. If you’ve ever done those crocodile hands it’s basically like the crocodile eats the bigger number. Which is why for 15 < 3n. It’s “eating” 3n because it’s a bigger number. If you need anymore clarification, you can message me