Answer:
2√5 - 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Terms/Coefficients
- Expand by FOIL
Explanation:
Step 1: Define
Identify
(√5 + 4)(√5 - 2)
Step 2: Simplify
- Expand [FOIL]: (√5)² - 2√5 + 4√5 - 8
- Combine like terms: (√5)² + 2√5 - 8
- Evaluate exponents: 5 + 2√5 - 8
- Combine like terms: 2√5 - 3