Question

Factor 6a^3-18ab please show work

Answer 1

The given expression is

We see from the possible answers they are all in reduced form - variables are grouped together. That means we should also reduce the given expression to see which answer is equivalent to it.

Let's expand the term inside the parentheses first, by multiplying each term inside by the coefficient of the parentheses, -3.

Now let's group terms which have the same variables.

We can see that there are two groups:

Let's evaluate them separately. We just need to reduce each group now, since we've already grouped similar terms.

If we put the groups back together into the expression,

We can see that . So (D) is the answer. Hope this helped.

Explanation:

Answer 2

6a(a^2 −3b)

Explanation:

6a^3 −18ab

Factor out 6.

6(a^3 −3ab)

Consider a^3 −3ab. Factor out a.

a(a^2 −3b)

Rewrite the complete factored expression.

6a(a^2 −3b)