Answer:
r(2a²) = 16a⁴ - 6a² + 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Functions
- Function Notation
- Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]
Step-by-step explanation:
Step 1: Define
Identify
r(x) = 4x² - 3x + 7
Step 2: Evaluate
- Substitute in x [Function r(x)]: r(2a²) = 4(2a²)² - 3(2a²) + 7
- Exponential Rule [Powering]: r(2a²) = 4(2²a²⁽²⁾) - 3(2a²) + 7
- [Exponents] Multiply: r(2a²) = 4(2²a⁴) - 3(2a²) + 7
- Exponents: r(2a²) = 4(4a⁴) - 3(2a²) + 7
- Multiply: r(2a²) = 16a⁴ - 6a² + 7
