Question

Subtract and simplify.

(−y2−3y−5)−(−3y2−7y+4)



Responses

2y2−7y−9
2 y squared minus 7 y minus 9

2y2+4y−9
2 y squared plus 4 y minus 9

2y2−10y+4
2 y squared minus 10 y plus 4

−2y2−10y−1

Answer 1

To simplify the expression \((−y^2−3y−5)−(−3y^2−7y+4)\), follow these steps:

1. Distribute the negative sign across the second expression:
\[
-(-3y^2) + 7y - 4 = 3y^2 + 7y - 4
\]

2. Combine the two expressions:
\[
-y^2 - 3y - 5 + 3y^2 + 7y - 4
\]

3. Combine like terms:
- For \(y^2\) terms: \(-y^2 + 3y^2 = 2y^2\)
- For \(y\) terms: \(-3y + 7y = 4y\)
- For constant terms: \(-5 - 4 = -9\)

4. Putting it all together:
\[
2y^2 + 4y - 9
\]

Thus, the simplified result is:
\[
\boxed{2y^2 + 4y - 9}
\]