This is really just an exercise in algebra.

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

8 is 2 to the third.

Let me erase some of this.

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.

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.

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

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

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

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

Subtract 49 from both sides.

So that's 6.

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

Well, that just equals 1 3 again.

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

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

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

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

And that's why I put the 1 2 there.

But this is equal to a squared minus b squared, because the middle terms cancel out.

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.

Negative.

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

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.

It's about living.

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.

So I'll give you four.

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.

They upstaged me. And she said, Do you know what that is?

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

Because they were falling at a steady speed with no acceleration.

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

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

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

I'm begging you! Try to be brave!

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

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

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

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

And risks are always risks.

Who's done this to you?

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

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.