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bustillojoshua4
19.11.2020 •
Mathematics
Given
f(x) = −5x9 − x8 + 3x3 − 8
and
g(x) = −5x9 − 5x3 − 5x2 + 5,
find and simplify
f(x) − g(x).
Solved
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Ответ:
f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Combining like termsStep-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)
Substitute: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 - (-5x⁹ - 5x³ - 5x² + 5)Distribute -1: f(x) - g(x) = -5x⁹ - x⁸ + 3x³ - 8 + 5x⁹ + 5x³ + 5x² - 5CBT (x⁹): f(x) - g(x) = -x⁸ + 3x³ - 8 + 5x³ + 5x² - 5CBT (x³): f(x) - g(x) = -x⁸ + 8x³ - 8 + 5x² - 5CBT (Z): f(x) - g(x) = -x⁸ + 8x³ + 5x² - 13And we have our final answer!
Ответ: