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The given equation is:

\[
\Delta = -16(4a^3 + 27b^2)
\]

To solve for \( \Delta \), we need the values of \( a \) and \( b \). If these values are provided, we can substitute them into the equation and simplify.

If the goal is to understand the structure and components of the equation, we note the following:
- The expression inside the parentheses is a combination of terms involving \( a \) and \( b \).
- \( 4a^3 \) is a term involving \( a \) raised to the power of 3.
- \( 27b^2 \) is a term involving \( b \) raised to the power of 2.
- The entire expression is multiplied by -16.

Would you like to provide specific values for \( a \) and \( b \) to find \( \Delta \)? Or do you have any other questions regarding this equation?

Feel free to ask more questions:
1. How do we simplify polynomial expressions?
2. What are the properties of cubic functions?
3. How do we solve equations involving multiple variables?
4. Can you explain the steps to expand and simplify algebraic expressions?
5. How do we factorize expressions involving cubes and squares?

**Tip:** When dealing with polynomials, always look for common factors and patterns to simplify the expressions more easily.

Explore how to solve equations involving polynomials and cubic functions. The problem focuses on understanding the structure and components of polynomial expressions, including terms with variables raised to powers. Suitable for Grades 10-12.

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