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The given rational expression:

\[
\frac{-12x^3 - 16x^2 + 8x + 12}{4x + 4}
\]

simplifies to:

\[
-3x^2 - x + 3
\]

Would you like a detailed explanation of the steps involved in simplifying this expression, or do you have any other questions?

Here are some related questions for further practice:

1. How do you factor the numerator and denominator of a rational expression?
2. Can you perform long division with polynomials on this example?
3. What happens when the denominator becomes zero?
4. How do you find the domain of the simplified expression?
5. How do you check if two expressions are equivalent?

**Tip**: Always look for common factors in both the numerator and denominator when simplifying rational expressions.

Simplify the rational expression: (-12x^3 - 16x^2 + 8x + 12) / (4x + 4)

Learn how to simplify the rational expression (-12x^3 - 16x^2 + 8x + 12) / (4x + 4) using factorization and polynomial division. This problem covers key algebraic concepts like rational expressions, polynomial factorization, and simplification. Suitable for Grades 9-11 students.

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