Final answer:
The result of multiplying the complex number (9 - 7i) by 12 is 108 - 84i, which is answer A) 108 - 84i.
Step-by-step explanation:
To solve the expression (9 - 7i) multiplied by 12, we apply the distributive property of multiplication over addition. This property states that a number or expression multiplied by a sum of terms can be broken down into individual multiplications for each term.
Applying this to our complex number expression, we get:
12 × (9 - 7i) = (12 × 9) + (12 × -7i)
We then multiply each term separately:
- 12 × 9 = 108
- 12 × -7i = -84i
Combine these results:
108 + (-84i) = 108 - 84i
Thus, the correct answer is A) 108 - 84i.