Asked by unicorn
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
.(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
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{19j - 4}
\]
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:
\[
\boxed{19j - 4}
\]
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