Question

Select the expression described by the verbal description below: "the square of the sum of 8 times x and 3."

a. \((8x + 3)^2\)

b. \([8(x + 3)]^2\)

c. \(8(x + 3)^2\)

d. \(8x + 32\)

Answer 1

The correct expression is (8x + 3)^2, which is obtained by first determining the sum of 8 times x and 3 and then squaring that entire sum.

Step-by-step explanation:

The expression described by the verbal description "the square of the sum of 8 times x and 3" is mathematically represented by option a, which is (8x + 3)^2. To understand how to construct this expression, we first construct the sum of 8 times x and 3, which is 8x + 3. We then take the square of this entire sum, which means we raise the sum to the power of 2. So, the expression (8x + 3)^2 means that everything inside the parentheses is multiplied by itself.