Final answer:
To solve the problem, sum the two given expressions, then subtract the third expression from that result. This leads to the final answer of (-11x + 9).
Step-by-step explanation:
To perform the indicated operation, which is to subtract (5x²-1) from the sum of (x²-6x+5) and (4x²-5x+3), we first need to find the sum, and then subtract the expression. Here are the steps:
- Sum the expressions (x²-6x+5) and (4x²-5x+3) to get (x² + 4x²) + (-6x - 5x) + (5 + 3), which simplifies to (5x² - 11x + 8).
- Subtract the expression (5x²-1) from this sum, giving us (5x² - 11x + 8) - (5x² - 1).
- When subtracting, change the sign of the expression being subtracted and add. So, we have (5x² - 11x + 8) + (-5x² + 1), which results in (-11x + 9).
Therefore, the final answer is (-11x + 9).