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 answer

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).