Final answer:
The expression (m-3+4n) x (-8) equals -8m + 24 - 32n when applying the distributive property, which is option (a). This involves multiplying each term inside the parentheses by -8.
Step-by-step explanation:
The expression (m-3+4n) x (-8) is asking us to multiply the entire expression inside the parentheses by -8. To do this, we apply the distributive property, which tells us to multiply each term inside the parentheses by -8. Here's how it's done step by step:
- Multiply m by -8, which gives us -8m.
- Multiply -3 by -8, which gives us +24.
- Multiply 4n by -8, which results in -32n.
Combining these results, we get -8m + 24 - 32n. Therefore, our answer is option (a): (m - 3 + 4n) x (-8).