Question

If \( |z_1| = 2, |z_2| = 3, |z_3| = 4 \) and \( |2z_1 + 3z_2 + 4z_3| = 4 \), then the absolute value of \( 8z_2z_3 + 27z_1z_3 + 64z_1z_2 \) equals:

• A. 24
• B. 48
• C. 72
• D. 96

Hint:

For problems involving absolute values of complex expressions, use the properties of magnitudes and simplify each term before combining them.