Question

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

1) (8x + 3)²
2) [8(x + 3)]²
3) 8(x + 3)²
4) 8x + 32

Answer 1

The expression that represents "the square of the sum of 8 times x and 3" is (8x + 3)², which corresponds to option 1.

Step-by-step explanation:

The verbal description "the square of the sum of 8 times x and 3" translates to a mathematical expression where we first determine the sum of 8 times x and 3 and then find the square of that sum. This means we perform the operation (8x + 3) first and then square the result, which is mathematically represented by squaring the entire expression, (8x + 3)². Therefore, the correct choice from the given options is 1) (8x + 3)².