Question

Simplify the following expression.
43 + 6(11 - 8)2

A.
-254
B.
66
C.
118
D.
48

Answer 1

To simplify the expression \(43 + 6(11 - 8)2\), we will follow the order of operations (PEMDAS/BODMAS).

1. First, we solve the parentheses:
\[
11 - 8 = 3
\]

2. Next, we substitute back into the expression:
\[
43 + 6(3)2
\]

3. Then, we multiply:
\[
6 \cdot 3 = 18
\]
Thus, the expression becomes:
\[
43 + 18 \cdot 2
\]

4. Next, we perform the multiplication:
\[
18 \cdot 2 = 36
\]
So now the expression looks like this:
\[
43 + 36
\]

5. Finally, we add:
\[
43 + 36 = 79
\]

It looks like I made a mistake in understanding the expression. The expression should have parentheses guiding multiplication properly.

So let's rewrite the expression with correct operations:
\[
43 + 6(11 - 8) \cdot 2
\]
Now re-evaluating with operations in parentheses:
1. \( 11 - 8 = 3 \)
2. \( 6 \cdot 3 = 18 \)
3. Finally, \( 18 \cdot 2 = 36 \)

And add:
\[
43 + 36 = 79
\]

If we were to compare with the options given:
It appears none of the options are correct.
Thus, the correct answer should be 79 and not matching any given options A, B, C, or D.

Please double check the problem specification provided.