Final answer:
The equivalent expression of 7a/2b - 10a²b² + 14/2b³ is Option A, which is (7a/2)b - 10a²b² + 14/2b³.
Step-by-step explanation:
The student is asking for the equivalent expression of 7a/2b - 10a²b² + 14/2b³. The given options can be analyzed by looking at the distribution of the terms and comparing them with the original expression. Here, we need to ensure that the coefficients and the variables' exponents match those in the original expression.
The correct equivalent expression is Option A, (7a/2)b - 10a²b² + 14/2b³. This is because each term in Option A is the original expression with the variable b distributed where necessary. For example, in the first term, (7a/2)b is equivalent to 7a/2b since multiplying by b is the same as dividing by 1/b.