Question

question

factor completely: \\(16x^3 - 36x\\).

provide your answer below:

Explanation:

Factor out the greatest common factor

Using the Greatest Common Factor Factoring knowledge point

$$ 16x^3 - 36x = 4x(4x^2 - 9) $$

Factor the remaining binomial

Using the Difference of Squares knowledge point

$$ 4x^2 - 9 = (2x)^2 - 3^2 = (2x - 3)(2x + 3) $$

Combine all factors

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

$$ 16x^3 - 36x = 4x(2x - 3)(2x + 3) $$

Answer:

Factor completely: \(16x^3 - 36x\) = <blank>\(4x(2x - 3)(2x + 3)\)</blank>