How do you factor 27a38?

1 Answer
Apr 7, 2018

27a38=(3a2)(9a2+6a+4)

Explanation:

We have a difference of cubes:

27a38

=(3a)323

To factor a difference of cubes, use the formula:

a3b3=(ab)(a2+ab+b2)

(3a)323=(3a2)(9a2+6a+4)

This cannot be factored any further using rational numbers, so this is the fully factored form.