Represent the following phrase as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

Question

The square of the product of 6 and a number.
The square of the product of 6 and a number.

Answer 1

To represent the phrase "The square of the product of 6 and a number" as an algebraic expression, where "a number" is represented by \( x \), we first identify the product of 6 and \( x \), which is \( 6x \).

Next, we need to take the square of that product. Therefore, the expression can be written as:

\[ (6x)^2 \]

So, the final algebraic expression is \( (6x)^2 \).