Use addition and subtraction to simplify (3x^2- 3x + 6 ) - (5x^2+2x + 9)

-2x² - 5x - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(3x² - 3x + 6) - (5x² + 2x + 9)

Step 2: Simplify

[Distributive Property] Distribute negative:                                                    3x² - 3x + 6 - 5x² - 2x - 9[Subtraction] Combine like terms (x²):                                                             -2x² - 3x + 6 - 2x - 9[Subtraction] Combine like terms (x):                                                              -2x² - 5x + 6 - 9[Subtraction] Combine like terms (Z):                                                              -2x² - 5x - 3

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