$\"\"$

The equation is $\"\"$ .

Solve the equation:

$\"\"$ (Original equation)

$\"\"$ (Rewrite the equation)

Since $\"\"$ and $\"\"$ are both perfect cubes, so can be factored using sum of cubes formula.

$\"\"$ (Sum of two cubes)

$\"\"$ or $\"\"$ (Zero product property)

$\"\"$ and $\"\"$ (Simplify)

Since the solution of the equation is $\"\"$ and $\"\"$ .

$\"\"$

The solutions of the equation are $\"\"$ and $\"\"$ .