For objects that are tessellated into triangles, this means a smaller tessellation factor can be given.

9, 12, and 4, they don't have any common factors, so I can't just do that simplification.

And all of these are divisible by 5.

So let's multiply both sides by mu.

And then you make some assumptions about it.

let's cancel that out.

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

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

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

You would get 8 minus 4 is 4.

So what does this simplify to?

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

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.

But I never saw him before in my life.

We have one expression on top of another expression.

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

They are also organic compounds in which one or more of the hydrogens in ammonia is replaced with a more complex group.

Colour, Floyd Steinberg, CMYK, simpler

Color, Floyd Steinberg, CMYK, simpler

Because simple answers may emerge.

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.

(Laughter)

And you start to see things.

We hope you'll join us in January.

That witness is a complication.

The plants manufacture complex chemical compounds.

What's that going to simplify to?

Minus va minus 400 12.

So this whole expression simplifies to

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 now the universe is chemically more complex.

All we did is wherever we saw an x, we substituted it, minus 2 there.

But because this is an equation, it equals 0, let's just divide everything by 9.

We've stated the domain.

The numerator has the same degree as the denominator.

So we can do this in multiple ways, simplify different parts.

So we can write this as x plus 2 times x plus 8.

I shudder to say simple it's straightforward.

Well, let me show you. So here I have the solution.

Death is often the result of a process we call aging.

It's 50 percent above the category average.