Subtract: (j+2)−2(3−9j)

Question

.(1 point)
Responses

−8j−4
negative 8 j minus 4

−17j−4
negative 17 j minus 4

19j−4
19 j minus 4

19j+4

Answer 1

Let's simplify the expression step by step.

We start with:

\[ (j + 2) - 2(3 - 9j) \]

First, distribute the \(-2\) in the second part of the expression:

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

This simplifies to:

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

Now combine like terms:

1. For the \(j\) terms: \[ j + 18j = 19j \]

2. For the constants: \[ 2 - 6 = -4 \]

Putting it all together, we have:

\[ 19j - 4 \]

So, the answer is:

\[ \boxed{19j - 4} \]