To simplify the given expression [tex]\(12 - (-8) \times 4\)[/tex], let's break it down step-by-step:
1. Evaluate the Multiplication:
- We first handle the multiplication inside the parentheses: [tex]\((-8) \times 4\)[/tex].
- Multiplying [tex]\(-8\)[/tex] by [tex]\(4\)[/tex] gives us [tex]\(-32\)[/tex].
2. Simplify the Expression:
- Substitute [tex]\(-32\)[/tex] back into the original expression:
[tex]\[
12 - (-32)
\][/tex]
3. Subtracting a Negative Number:
- Subtracting a negative number is equivalent to adding the positive of that number:
[tex]\[
12 - (-32) = 12 + 32
\][/tex]
4. Perform the Addition:
- Now, we add [tex]\(12\)[/tex] and [tex]\(32\)[/tex]:
[tex]\[
12 + 32 = 44
\][/tex]
Therefore, the simplified value of [tex]\(12 - (-8) \times 4\)[/tex] is [tex]\(44\)[/tex].
So, the best answer is:
C. 44
