Question

Enter an expression equivalent to (3x^2+2y^2-3x) + (2x^2+y^2-2x) - (x^2 + 3y^2 +x)

I'm having a hard time figuring out this problem. I'm so confused about how to solve it. :(

Please explain how you got the answer. I wanna know! :D

Answer 1

4x² - 6x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Distributive Property

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)

Step 2: Simplify

1. [Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
2. Combine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - x
3. Combine like terms (y²): 4x² - 3x - 2x - x
4. Combine like terms (x): 4x² - 6x