Question

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

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

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

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

−6j2+1

Answer 1

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

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

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

3. **Combine the constant terms:**
\[
-3 + 5 - 1 = -3 + 5 = 2; \quad 2 - 1 = 1
\]

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

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