Factor h^3-64w^3 completely. Answer Attempt out of 2

## Step 1: Identifying the Difference of Cubes<br />### The given expression $h^3 - 64w^3$ can be written as $h^3 - (4w)^3$, which is a difference of cubes. The formula for the difference of cubes is $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$.<br /><br />## Step 2: Applying the Formula<br />### Here, $a = h$ and $b = 4w$. Substituting these values into the difference of cubes formula, we get:<br />$h^3 - (4w)^3 = (h - 4w)(h^2 + h(4w) + (4w)^2)$.<br /><br />## Step 3: Simplifying the Expression<br />### Simplifying the second factor gives us:<br />$(h - 4w)(h^2 + 4hw + 16w^2)$.