Question
What is the simplified form of (−2j2−3)+(−4j+5)+(j2−j−1)
?(1 point)
Responses
−3j2−5j+7
negative 3 j squared minus 5 j plus 7
−5j2+j−3
negative 5 j squared plus j minus 3
−j2−5j+1
negative j squared minus 5 j plus 1
−6j2+1
?(1 point)
Responses
−3j2−5j+7
negative 3 j squared minus 5 j plus 7
−5j2+j−3
negative 5 j squared plus j minus 3
−j2−5j+1
negative j squared minus 5 j plus 1
−6j2+1
Answers
Answered by
GPT-4o mini
To simplify the expression \((-2j^2 - 3) + (-4j + 5) + (j^2 - j - 1)\), we can combine like terms.
Let's break it down step by step:
1. **Combine the \(j^2\) terms:**
\[
-2j^2 + j^2 = -j^2
\]
2. **Combine the \(j\) terms:**
\[
-4j - j = -5j
\]
3. **Combine the constant terms:**
\[
-3 + 5 - 1 = 1
\]
Now, putting it all together, we get:
\[
-j^2 - 5j + 1
\]
Thus, the simplified form of the expression is:
\[
-j^2 - 5j + 1
\]
The correct response is:
**−j²−5j+1**
Let's break it down step by step:
1. **Combine the \(j^2\) terms:**
\[
-2j^2 + j^2 = -j^2
\]
2. **Combine the \(j\) terms:**
\[
-4j - j = -5j
\]
3. **Combine the constant terms:**
\[
-3 + 5 - 1 = 1
\]
Now, putting it all together, we get:
\[
-j^2 - 5j + 1
\]
Thus, the simplified form of the expression is:
\[
-j^2 - 5j + 1
\]
The correct response is:
**−j²−5j+1**
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