# How do you simplify #(a+4b-3c)^3#?

##### 2 Answers

#### Explanation:

Take it step-by-step, using the fact that when you multiply one polynomial times another, each of the terms in the first one needs to get multiplied one time by each of the terms in the second one (this follows from the distributive property).

So, first we compute

Combine like terms to get:

Now

Look at general case

#### Explanation:

Consider the general case of the cube of a trinomial:

This is easier to solve than our original problem because it is symmetrical in

The only way we can get a multiple of

We can get a multiple of

We can get a multiple of

So:

Now let