Question

Subtract: (j+2)−2(3−9j)
.(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:

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