Question

(a - b)(a2 + ab + b2)

Answer 1

use the F.O.I.L method

multiply a*a^2 + a*ab + a*ab then do the same thing for b

Answer 2

You can't FOIL this. You only can FOIL binomials. @jperez570

Answer 3

It's the same method only with a step more, how would you call it with trinominals then?

Answer 4

You just multiple it by the 1st term, middle term, and the outer number

Answer 5

uhh, ever heard of the difference of cubes ?

Answer 6

What's in a name, anyway? Let's just call it distribution...
\[(a-b)(a^2 + ab + b^2)=a^2(a-b)+ab(a-b)+b^2(a-b)\]

Answer 7

You Distribute both variables to the trinomials.

Answer 8

But yeah, @Luis_Rivera this form should be learned by heart, such that it would look familiar in all its incarnations :)

Answer 9

lol