Question

\\54y^3 - 2\\

Explanation:

Factor out the greatest common factor

Using the Greatest Common Factor and Factoring Polynomials by GCF knowledge points

$$ 54y^3 - 2 = 2(27y^3 - 1) $$

Rewrite as a difference of cubes

Using the Difference of Cubes knowledge point

$$ 27y^3 - 1 = (3y)^3 - 1^3 $$

Apply the difference of cubes formula

Using the Factoring Sum and Difference of Cubes knowledge point

$$
LATEXBLOCK0
$$

Combine all factored parts

Using the Factoring Polynomials by GCF and Factoring Sum and Difference of Cubes knowledge points

$$ 54y^3 - 2 = 2(3y - 1)(9y^2 + 3y + 1) $$

Answer:

Factor the expression: <blank>\(2(3y - 1)(9y^2 + 3y + 1)\)</blank>