X3-216

To factor the expression \( x^3 - 216 \), we can recognize that it is a difference of cubes. The general formula for factoring a difference of cubes is: \[ a^3 - b^3 = (a - b)(a^2 + ab + b^2) \] In this case, we can identify: - \( a = x \) - \( b = \sqrt[3]{216} = 6 \) Thus, we can rewrite the expression as: \[ x^3 - 6^3 \] Now, using the difference of cubes formula: \[ x^3 - 6^3 = (x - 6)(x^2 + 6x + 36) \] So, the factored form of \( x^3 - 216 \) is: \[ (x - 6)(x^2 + 6x + 36) \] If you have any further questions or need clarification, feel free to ask!