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The expression to completely factor is:

\[
-3x^3 - 18x^2 - 27x
\]

### Step-by-Step Solution:

1. **Identify the Greatest Common Factor (GCF):**
   The coefficients are \(-3\), \(-18\), and \(-27\), and the GCF of these numbers is \(-3\).
   The variable part contains \(x\), and the smallest power of \(x\) is \(x\). Therefore, the GCF for the entire expression is \(-3x\).

2. **Factor out the GCF:**
   Factor \(-3x\) from each term:
   \[
   -3x(x^2 + 6x + 9)
   \]

3. **Factor the quadratic expression:**
   Now, we need to factor \(x^2 + 6x + 9\). This is a perfect square trinomial because:
   \[
   x^2 + 6x + 9 = (x + 3)(x + 3) = (x + 3)^2
   \]

4. **Final factored form:**
   Substituting back the factored quadratic, the completely factored expression is:
   \[
   -3x(x + 3)^2
   \]

### Final Answer:
\[
-3x(x + 3)^2
\]

Would you like further details or clarifications?

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Here are 5 related questions to practice with:

1. How do you factor the expression \(x^2 + 8x + 16\)?
2. What is the GCF of \(12x^4 + 18x^3 + 24x^2\)?
3. Factor the expression \(x^2 - 4x - 12\).
4. How do you factor cubic polynomials like \(x^3 - 8\)?
5. What are the steps to factor the expression \(6x^2 - 13x - 5\)?

**Tip:** Always check if the expression has a common factor before attempting other factoring methods!

Completely factor the expression: -3x^3 - 18x^2 - 27x

Learn how to completely factor the expression -3x^3 - 18x^2 - 27x using the GCF and quadratic factorization techniques. This step-by-step guide covers factoring methods for polynomials and recognizing perfect square trinomials. Suitable for students in Grades 9-10.

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