Question

Subtract and simplify.
(y2−3y−5)−(−y2−7y+4)



Responses

−2y2−7y+1
negaitve 2 y squared minus 7 y plus 1

−2y2−10y−1
negative 2 y squared minus 10 y minus 1

2y2+4y−9
2 y squared plus 4 y minus 9

2y2−10y+4

Answer 1

To solve \((y^2 - 3y - 5) - (-y^2 - 7y + 4)\), we first need to distribute the negative sign to the second expression:

\[
(y^2 - 3y - 5) + (y^2 + 7y - 4)
\]

Now, combine like terms:

1. Combine \(y^2\) terms:
- \(y^2 + y^2 = 2y^2\)

2. Combine \(y\) terms:
- \(-3y + 7y = 4y\)

3. Combine constant terms:
- \(-5 - 4 = -9\)

Putting it all together, we have:

\[
2y^2 + 4y - 9
\]

So, the final simplified result is:

\[
\boxed{2y^2 + 4y - 9}
\]

Thus, the correct response is **2y^2 + 4y - 9**.