Question

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

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

−6j2+1
negative 6 j squared plus 1

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

−j2−5j+1

Answer 1

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

1. Start by grouping the \(j^2\) terms, the \(j\) terms, and the constant terms:

\[
(-2j^2 + j^2) + (-4j - j) + (-3 + 5 - 1)
\]

2. Now simplify each group:

- For \(j^2\) terms: \(-2j^2 + j^2 = -1j^2\) or simply \(-j^2\).
- For \(j\) terms: \(-4j - j = -5j\).
- For the constant terms: \(-3 + 5 - 1 = 1\).

3. Combine everything together:

\[
-j^2 - 5j + 1
\]

Thus, the simplified form of the expression is:

\[
-j^2 - 5j + 1
\]

Therefore, the correct response is:

**−j2−5j+1** (negative j squared minus 5 j plus 1).