Question

Given

Answer 1

Answer:

f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

• Combining like terms

Step-by-step explanation:

Step 1: Define

f(x) = -5x⁹ - x⁸ + 3x³ - 8

g(x) = -5x⁹ - 5x³ - 5x² + 5

Step 2: Find f(x) - g(x)

1. Substitute:               f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)
2. Distribute -1:            f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5
3. CBT (x⁹):                  f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5
4. CBT (x³):                  f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5
5. CBT (Z):                   f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13

And we have our final answer!