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Vedmedyk [2.9K]
3 years ago
9

Find the difference. (3x3−2x2+4x−8)−(5x3+12x2−3x−4)=

Mathematics
1 answer:
Lunna [17]3 years ago
7 0

Answer:

-2x³ - 14x² + 7x - 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(3x³ - 2x² + 4x - 8) - (5x³ + 12x² - 3x - 4)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    3x³ - 2x² + 4x - 8 - 5x³ - 12x² + 3x + 4
  2. Combine like terms (x³):                                                                                   -2x³ - 2x² + 4x - 8 - 12x² + 3x + 4
  3. Combine like terms (x²):                                                                                   -2x³ - 14x² + 4x - 8 + 3x + 4
  4. Combine like terms (x):                                                                                    -2x³ - 14x² + 7x - 8 + 4
  5. Combine like terms:                                                                                         -2x³ - 14x² + 7x - 4
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