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

Question

?(1 point)
Responses

−j2−5j+1
negative j squared minus 5 j plus 1

−6j2+1
negative 6 j squared plus 1

−3j2−5j+7
negative 3 j squared minus 5 j plus 7

−5j2+j−3

Answer 1

To simplify the expression \((-2j^2 - 3) + (-4j + 5) + (j^2 - j - 1)\), we need to combine like terms.

1. Combine the \(j^2\) terms: \[ -2j^2 + j^2 = -2j^2 + 1j^2 = -1j^2 = -j^2 \]

2. Combine the \(j\) terms: \[ -4j - j = -4j - 1j = -5j \]

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

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

Thus, the simplified form of the expression is: \[ \boxed{-j^2 - 5j + 1} \]

This matches the first response provided: "negative j squared minus 5 j plus 1."