What is the simplified form of (−2j2−3)+(−4j+5)+(j2−j−1)

Question

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(1 point)
Responses

−6j2+1
negative 6 j squared plus 1

−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

Answer 1

To simplify the expression \((−2j^2−3)+(−4j+5)+(j^2−j−1)\), we can first remove the parentheses and then combine like terms.

1. Write the expression without parentheses: \[ -2j^2 - 3 - 4j + 5 + j^2 - j - 1 \]

2. Now, combine the \(j^2\) terms: \[ -2j^2 + j^2 = -j^2 \]

3. Combine the \(j\) terms: \[ -4j - j = -5j \]

4. Combine the constant terms: \[ -3 + 5 - 1 = 1 \]

Putting it all together: \[ -j^2 - 5j + 1 \]

Thus, the simplified form is: \[ -j^2 - 5j + 1 \]

So the correct response is: −j²−5j+1 (negative j squared minus 5 j plus 1).