8 is 2 to the third.

Let me erase some of this.

This is really just an exercise in algebra.

That crosses out. a squared minus a squared crosses out. a to the third, it'll all cross out.

We have a positive 2 and a minus 2.

The left hand side, we're just left with the 3x.

Let's see, this z plus 2 cancels out with this z plus 2.

And here is Gauss' trick, for observation, which is that the result of the third recursive call minus each of the first two what happens.

But the best thing, I'm guessing, is to just factor these out and all sorts of things will start canceling out with each other.

that's equal to x minus f squared plus y squared.

We know that f of 2 is 8. 2 3 is 8

Negative 1 3 times 6z is going to be minus 2z.

Well, we take the exponent, multiply it by the expression.

2x minus 5 is equal negative 11 let's add 5 to both sides of this equiation.

And already it looks like there's some cancellation that we can do.

If you wanted to solve it algebraically you could add 11x to both sides and both of these terms will cancel out with each other and all you would be left with is a 4 is equal to a negative 11, which is not possible for any x that you pick.

Now we can add 13 to both sides of this equation so that we get rid of it on the left hand side.

Subtract 49 from both sides.

Then times 5 times 4 times 3 times 2 times 1.

So that's 6.

Well, a to the first, minus a to the first.

You can add x squared to both sides to get rid of this and this.

Well, that just equals 1 3 again.

And now let's add for the new variance, a 1000 to each individual salary and a 1000 to the mean.

Meaning d should be Alice's private key.

And I didn't multiply them out on purpose so that we can cancel things out.

If I have a negative times a negative, the negatives are going to cancel out.

So that's going to be equal to 6y squared minus x squared plus 3.

Negative.

But just a second later, most matter and all of the antimatter had destroyed one another, producing an enormous amount of radiation that can still be observed today.

Japan consumes a lot of paper.

Now we can simplify these. p to the third cancels out with p to the third.

And then your right hand side, once again, distribute the x. x times 2 is 2x. x times 15 x, well, x times something over x is just going to be the something. x times 15 x is just going to be 15 plus 15.

So you've effectively negated 60 years of aeronautic research.

And they don't always work together.

Now, Alice ads her private colour to Bob's mixture.

It's about living.

We subtracted it, so let me clear it.

Let me clear it over here.

We have to overcome this moment

2 times 4 is 8, so this whole thing simplifies to A minus of a negative, that's just the plus of the plus, the negatives cancel out.

Multiplying this out misses exactly 1 term, pXi, which is number 3.

To isolate the x, let's just divide both sides by 3.

No, do not take the capsule. Help is on the way.

We have him on medication to control the pain. He's over the worst. Ok.