Question

current objective
recognize and use the appropriate

question
factor: \\(2d^3 - 432q^3\\).

provide your answer below:

Explanation:

Factor out the greatest common factor

Using the Greatest Common Factor Factoring knowledge point

$$ 2d^3 - 432q^3 = 2(d^3 - 216q^3) $$

Apply the difference of cubes formula

Using the Difference of Cubes knowledge point

$$
LATEXBLOCK0
$$

Write the fully factored expression

Using the Greatest Common Factor Factoring and Difference of Cubes knowledge points

$$ 2d^3 - 432q^3 = 2(d - 6q)(d^2 + 6dq + 36q^2) $$

Answer:

Factor: \(2d^3 - 432q^3\) = <blank>\(2(d - 6q)(d^2 + 6dq + 36q^2)\)</blank>