Final answer:
To evaluate the expression (3x³ - 7x² - 7x³) / (x-3)², combine like terms in the numerator to get (-4x³ - 7x²) and expand the denominator as x² - 6x + 9. The expression does not simplify further without a specific value for x.
Step-by-step explanation:
The question asks us to evaluate the expression (3x³ - 7x² - 7x³) / (x-3)². To begin, we need to simplify the numerator by combining like terms. We observe that 3x³ and -7x³ are like terms, so we can combine them to get -4x³. Therefore, the expression simplifies to (-4x³ - 7x²) / (x-3)².
Next, to evaluate the simplified expression, we can expand the denominator to get (x-3)(x-3), which is x² - 6x + 9. As there is no factor common to both the numerator and the denominator, there is no further simplification that can be done without knowing the value of x. If x is not equal to 3 (to avoid division by zero), the expression remains as is. For specific x values, you would substitute and simplify further if necessary.