Final answer:
The problem to simplify log(2-0) * x²_1 leads to a simplification to log(2) times (x² - 1). Since log(2) is constant, the expression simplifies to (x² - 1), making option (a) the correct answer.
Step-by-step explanation:
The student is asking to simplify log(2-0) * x²_1. There seems to be a typo in the expression. Assuming the intended expression is log(2) * (x² - 1), since log(2-0) simplifies to log(2), which is a constant. However, without any base indicated for the logarithm, it's typical to assume either base 10 or base e (natural logarithm). In either case, log(2) is still just a constant multiplier to the expression (x² - 1).
The solution does not change in the presence of the logarithm as long as the value inside the logarithm is positive, which it is in this case (2 is greater than 0). Therefore, the expression simply is (x² - 1), and the answer to the student's problem is option (a) x² - 1.