And so this gives us, right over here, a difference of cubes. And you can actually factor a difference of cubes. And you may or may not know the pattern. So if I have a to the third minus b to the third, this …

In this article, we'll learn how to use the difference of squares pattern to factor certain polynomials. If you don't know the difference of squares pattern, please check out our video before proceeding.

So this is essentially the special form. If you have a sum of cubes, it can be factored out as the sum of the cube roots times this expression right here. And we just showed that it works. So let's see if we …

It's the difference between two quantities that have been squared and it turns out that this is pretty straightforward to factor. And to see how it can be factored, let me pause there for a second and get …

Sal factoriza 40c^3-5d^3 como 5(2x-d)(4c^2+2cd+d^2) mediante una forma especial de producto para suma de cubos.

Practice Multiply difference of squares 4 questions Practice Polynomial special products: perfect square

Factor quadratic expressions of the general difference of squares form: (ax)^2-b^2. The factored expressions have the general form (ax+b) (ax-b).

Volume with fractions Learn Volume with fractional cubes Volume of a rectangular prism: fractional dimensions Volume of a rectangular prism: word problem

And so to measure volume, we could say, well, how many of these unit cubes can fit into these different shapes? Well, this one right over here, and you won't be able to actually see all of them.

Factorization goes the other way: suppose we have an expression that is the difference of two squares, like x²-25 or 49x²-y², then we can factor is using the roots of those squares.