To solve the given expression [tex]\( 15 \times 3 - (7 \times 2) \times 41 \)[/tex], let's break it down into smaller steps and evaluate each part sequentially.
### Step-by-Step Solution:
1. Calculate [tex]\( 15 \times 3 \)[/tex]:
[tex]\[
15 \times 3 = 45
\][/tex]
2. Calculate [tex]\( 7 \times 2 \)[/tex]:
[tex]\[
7 \times 2 = 14
\][/tex]
3. Calculate [tex]\( 14 \times 41 \)[/tex] (since we've found [tex]\( 7 \times 2 = 14 \)[/tex]):
[tex]\[
14 \times 41 = 574
\][/tex]
4. Subtract the result of the third step from the result of the first step:
[tex]\[
45 - 574
\][/tex]
Performing the subtraction:
[tex]\[
45 - 574 = -529
\][/tex]
### Final Answer:
Therefore, the value of the expression [tex]\( 15 \times 3 - (7 \times 2) \times 41 \)[/tex] is [tex]\( -529 \)[/tex]. Since the provided options are 4 and 41, neither is correct based on this calculation.