Factor​ completely, or state that the polynomial is prime.
54 x cubed minus 16 y cubed
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Part 1
Select the correct choice below and fill in any answer boxes within your choice.

We are tasked with factoring the expression \( 54x^3 - 16y^3 \). To do this, we'll recognize that this is a **difference of cubes**. 

A difference of cubes has the general formula:

\[
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
\]

### Step 1: Express each term as a cube
We need to express each term as a cube:

- \( 54x^3 = (3\sqrt[3]{54}x)^3 \) isn't a perfect cube.
- Rewrite the factors of the

Factor completely, or state that the polynomial is prime. 54x^3 - 16y^3

Discover how to factor the polynomial 54x^3 - 16y^3 completely using the difference of cubes formula. This detailed step-by-step guide walks you through the factoring process and explains key algebraic concepts. Suitable for high school students in Grades 9-12.

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