Question

3) If A= x2 – 3x + 5 and B
2x2-3x+1 what is A - 2B?

Answer 1

-3x² + 3x + 3

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Combining Like Terms

Explanation:

Step 1: Define

A = x² - 3x + 5

B = 2x² - 3x + 1

Step 2: Find A - 2B

1. Substitute: (x² - 3x + 5) - 2(2x² - 3x + 1)
2. Distribute -2: x² - 3x + 5 - 4x² + 6x - 2
3. Combine like terms (x²): -3x² - 3x + 6x + 5 - 2
4. Combine like terms (x): -3x² + 3x + 5 - 2
5. Combine like terms (Z): -3x² + 3x + 3