Final answer:
To subtract ((3x³-12x²+0x-71)/(x-2)) - (3x³-6x²), distribute the negative sign and combine like terms by subtracting the corresponding coefficients. The final expression is -6x² - 71.
Step-by-step explanation:
To subtract ((3x³-12x²+0x-71)/(x-2)) - (3x³-6x²), we need to first distribute the negative sign to the expression inside the parentheses. So it becomes (3x³-12x²+0x-71) - 3x³ + 6x². Now we can combine like terms by subtracting the corresponding coefficients.
This gives us -12x² + 6x² - 71 as the final expression.
So, ((3x³-12x²+0x-71)/(x-2)) - (3x³-6x²) simplifies to -6x² - 71.