Question

Subtract (−4m2+5mw−12w2) from (−10m2−11mw−7w2).

Answer 1

-6m² - 16mw + 5w²

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

Answer 2

-6m² - 16mw + 5w²

General Formulas and Concepts:

Pre-Algebra

• Distributive Property

Algebra I

• Terms/Coefficients

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