What is the simplified form of (−2j^2−3)+(−4j+5)+(j^2−j−1)
?(1 point)
Responses
−6j^2+1
negative 6 j squared plus 1
−j^2−5j+1
negative j squared minus 5 j plus 1
−5j^2+j−3
negative 5 j squared plus j minus 3
−3j^2−5j+7
?(1 point)
Responses
−6j^2+1
negative 6 j squared plus 1
−j^2−5j+1
negative j squared minus 5 j plus 1
−5j^2+j−3
negative 5 j squared plus j minus 3
−3j^2−5j+7
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To simplify the expression \((-2j^2 - 3) + (-4j + 5) + (j^2 - j - 1)\), we first need to combine like terms.
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:
\[
-j^2 - 5j + 1
\]
The simplified form is \(-j^2 - 5j + 1\).
Thus, the correct answer is:
- **−j²−5j+1** (negative j squared minus 5 j plus 1).
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:
\[
-j^2 - 5j + 1
\]
The simplified form is \(-j^2 - 5j + 1\).
Thus, the correct answer is:
- **−j²−5j+1** (negative j squared minus 5 j plus 1).
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