And I'll show you how that's done in a reasonably fair way.

So what does this simplify to?

I'm starting to see the light at the end of the tunnel.

Nothing super fancy about this.

The length is given right over there it is a squared plus 6 a minus 27 they want us to simplify this.

We have a b squared over b to the third power

And all of these are divisible by 5.

And that can also be written as and this is my preferred notation, because it doesn't have all this extra junk everywhere.

But there is something about this equation that might pop out at you that might make it a little bit simpler to solve.

So let's factor out a 6. And then 12x divided by 6 is 2x. And then 30 divided by 6 is 5.

So this whole expression simplifies to

The trick here is to factor it and simplify it before you do any multiplication.

Because if we just simplify this expression, and we include things in the simplified domain that weren't included in the original function's domain, we've actually changed the expression.

So, to wrap up. In this video, we looked up some plots. To understand the cost function.

No, my brougham is waiting.

And then you make some assumptions about it.

sound

let's cancel that out.

Very often it's static.

So let's multiply both sides by mu.

That hash sign is the abbreviation for number of training examples.

Minus va minus 400 12.

But let's say that it has 4 shares, and all of the shares are owned by Pete, initially

Times v1 dot v1.

And this number is the same as this number.

We have all of that over minus 16.

Is given right up here, is 2x times the principal square root of 5 minus 4, minus 4.

And lock in place against the ring when the jaws are clamped

A graphical interface for easily configuring Synergy

Ah, cool.

Colour, Floyd Steinberg, CMYK, simpler

Color, Floyd Steinberg, CMYK, simpler

So as you see, the hardest thing with the quadratic equation is often just simplifying the expression.

And you could leave it this way, or you could actually try to simplify this a little bit.

let's cancel that out.

Well, a is minus 10, so 2 times a is minus 20.

You could bring the 13 down here if you want to write it so you don't have a fraction over a fraction.

These guys down here cancel out.

We've seen how expensive it would be to track all the photons in a scene.

So essentially, we want to think of two numbers that add up to 15, but whose product is equal to negative 16. And this is just a technique of factoring by grouping.

And part of that is that we had to model very rapid circulation of CO2 and oxygen and water through this plant system.

25i 2 is the same thing as 25 times 1, so that is 25.

You would get 8 minus 4 is 4.

Now, this is actually the hardest part with the quadratic equation is oftentimes just simplifying this expression.

Let me use a slightly different color. We have an a to the ninth. over a squared.