Question

Expand and simplify x(x-5)(x-3)

Answer 1

x³ - 8x² + 15x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction
8. Left to Right

Distributive Property

Algebra I

• Terms/Coefficients/Degrees
• Expand by FOIL (First Outside Inside Last)

Explanation:

Step 1: Define

x(x - 5)(x - 3)

Step 2: Expand

1. Expand [FOIL]: x(x² - 3x - 5x + 15)
2. Combine like terms: x(x² - 8x + 15)
3. Distribute x: x³ - 8x² + 15x