QuestionCompletely factor the expression. $$9 x^{3}-72$$

Studdy Solution
Verify the factorization by expanding the factored form to ensure it equals the original expression.
$$9(x - 2)(x^2 + 2x + 4) = 9[x(x^2 + 2x + 4) - 2(x^2 + 2x + 4)]$$ $$= 9[x^3 + 2x^2 + 4x - 2x^2 - 4x - 8]$$ $$= 9[x^3 - 8]$$ $$= 9x^3 - 72$$
Therefore, the completely factored form of $9x^3 - 72$ is:
$$9(x - 2)(x^2 + 2x + 4)$$