Question

What is the correct way to solve (9-5).2?
A. First cube each term 93 - 53
then subtract 729 - 125 = 604, and
then multiply 604 • 3 = 1,208.
B. First subtract 9 - 5 = 4, then
multiply 4 • 2 = 8, and then cube 83 = 512.
C. First cube each term 93 - 53
then multiply second term
125 * 2 = 250, and then subtract
729 - 250 = 479.
D. First subtract 9 - 5 = 4, then
cube 43 = 64, and then multiply
64• 2 = 128.

Answer 1

Let's analyze the expression \( (9 - 5) \cdot 2 \).

First, we evaluate the expression inside the parentheses:
\[
9 - 5 = 4.
\]

Next, we multiply the result by 2:
\[
4 \cdot 2 = 8.
\]

Based on the evaluation, here’s the breakdown for each option you provided:

A. **First cube each term \( 9^3 - 5^3 \) then subtract \( 729 - 125 = 604 \), and then multiply \( 604 \cdot 3 = 1,208 \)**.
- This is not correct for the expression \( (9 - 5) \cdot 2 \).

B. **First subtract \( 9 - 5 = 4 \), then multiply \( 4 \cdot 2 = 8 \), and then cube \( 8^3 = 512 \)**.
- The first two steps are correct, but cubing the result is not part of solving \( (9-5) \cdot 2 \).

C. **First cube each term \( 9^3 - 5^3 \) then multiply the second term \( 125 \cdot 2 = 250 \), and then subtract \( 729 - 250 = 479 \)**.
- This is also not correct for the expression \( (9 - 5) \cdot 2 \).

D. **First subtract \( 9 - 5 = 4 \), then cube \( 4^3 = 64\), and then multiply \( 64 \cdot 2 = 128 \)**.
- Here, the first step is correct, but cubing and then multiplying is not appropriate for the expression.

The correct evaluation of the expression \( (9 - 5) \cdot 2 \) yields \( 8\), and none of the given options correctly solve \( (9-5) \cdot 2 \) as presented. The correct answer based on the steps provided is:
- First \( 9 - 5 = 4 \), then \( 4 \cdot 2 = 8 \).

Thus, **none of the answer choices (A, B, C, D) are correct** based on the intended operation of \( (9 - 5) \cdot 2 \).