Checkpoint: The Sum and Difference of Cubes Solution

Factor completely.

$81 a^{3} + 24 b^{3} 3 (27 a^{3} + 8 b^{3}) 27 a^{3} = {(3 a)}^{3}, \begin{matrix} 8 b^{3} = {(2 b)}^{3} \end{matrix} 3 (3 a + 2 b) (9 a^{2} - 6 a b + 4 b^{2})$

Note

The middle step is optional but may help you find the needed terms.

Q: How can you check your factored answer?
A: Multiply all of the terms using the distributive property and see if you get the given expression.