Question

If a = -3x and b = -3 - 2i, then find the value of a^3b in fully simplified form

Answer 1

81x³ + 54x³i

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

Identify

a³b

a = -3x

b = -3 - 2i

Step 2: Expand

1. Substitute in variables: (-3x)³(-3 - 2i)
2. Evaluate exponents: -27x³(-3 - 2i)
3. Distribute: 81x³ + 54x³i