Final answer:
The result of the polynomial subtraction (5x² - 8 + 2x) - (x + 9x² + 5) is -4x² + x - 13, after combining like terms for x², x, and constant values.
Step-by-step explanation:
The result of the polynomial subtraction (5x² - 8 + 2x) - (x + 9x² + 5) is -4x² + x - 13, after combining like terms for x², x, and constant values.
The student is asking to solve the polynomial expression (5x² - 8 + 2x) - (x + 9x² + 5). To solve this, we need to subtract the second polynomial from the first.
Firstly, we distribute the negative sign across the terms in the second polynomial: -x - 9x² - 5. Now, combine like terms with the first polynomial:
- Combine the x² terms: 5x² - 9x² = -4x²
- Combine the x terms: 2x - x = x
- Combine the constant terms: -8 - 5 = -13
After combining like terms, the simplified equation is -4x² + x - 13.