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Answer:

-6m² - 16mw + 5w²

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(-10m² - 11mw - 7w²) - (-4m² + 5mw - 12w²)

Step 2: Simplify

  1. [Distributive Property] Distribute negative:                                                    -10m² - 11mw - 7w² + 4m² - 5mw + 12w²
  2. Combine like terms:                                                                                         -6m² - 16mw + 5w²

Answer:

-6m² - 16mw + 5w²

Step-by-step explanation:

(−10m2−11mw−7w2)−(−4m2+5mw−12w2)=−10m2−11mw−7w2+4m2−5mw+12w2

Use the commutative property to bring the like terms together and simplify.

−10m2−11mw−7w2+4m2−5mw+12w2=−10m2+4m2−11mw−5mw−7w2+12w2=−6m2−16mw+5w2

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