Final answer:
The correct expression for 'The product of 5 and the difference of 7 times the square of x and 3' is 5 × (7x² - 3), which corresponds with option (A).
Step-by-step explanation:
The expression that represents the verbal description 'The product of 5 and the difference of 7 times the square of x and 3' is written as 5 × (7x² - 3). To construct this expression, we start by identifying 'the square of x' represented by x². Then, we consider '7 times the square of x', which is 7x². After that, we find the difference between 7x² and 3, resulting in 7x² - 3. Finally, we determine the product of 5 and the difference, leading us to 5 × (7x² - 3), which is choice (A) from the options provided. It's important to note that the expression is simplified correctly and follows the rules of operations and exponents as stated in the provided reference information. Exponents and multiplication rules play a crucial role in constructing and understanding mathematical expressions.