Subtract: (j+2)−2(3−9j)

Question

.(1 point)
Responses

19j−4
19 j minus 4

−17j−4
negative 17 j minus 4

19j+4
19 j plus 4

−8j−4

Answer 1

To solve the expression \((j+2)−2(3−9j)\), we will proceed step by step:

1. Distribute the \(-2\) in the second part of the expression:

   \[ -2(3 - 9j) = -2 \cdot 3 + (-2) \cdot (-9j) = -6 + 18j \]

2. Substitute this back into the original expression:

   \[ (j + 2) - 6 + 18j \]

3. Combine like terms:

   \[ j + 2 - 6 + 18j = (j + 18j) + (2 - 6) = 19j - 4 \]

Thus, the final result is:

\[ 19j - 4 \]

So the correct answer is: 19j−4 (19 j minus 4).