Answer:
Final answer in simplified form is
![3x^2-17x-30](https://img.qammunity.org/2020/formulas/mathematics/high-school/dca19xruh648wribu3jvd1vltbmt9fe7qk.png)
Explanation:
Given expression is
![(3x^2-8x-24)-(9x+6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bxuuzk4n5ljvno4tsfrv1w46t9gkay6ih0.png)
Now we need to find an equivalent expression for
![(3x^2-8x-24)-(9x+6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bxuuzk4n5ljvno4tsfrv1w46t9gkay6ih0.png)
First we can distribute the negative sign and remove the parenthesis the combine like terms
![(3x^2-8x-24)-(9x+6)](https://img.qammunity.org/2020/formulas/mathematics/high-school/bxuuzk4n5ljvno4tsfrv1w46t9gkay6ih0.png)
![=3x^2-8x-24-9x-6](https://img.qammunity.org/2020/formulas/mathematics/high-school/e2kjlffrv5xkbn7o18geg5dg3sf3g4wj2v.png)
![=3x^2-17x-30](https://img.qammunity.org/2020/formulas/mathematics/high-school/9todxsz9dnmgjnnwoc6yj3ywkswa27mgio.png)
Hence final answer in simplified form is
![3x^2-17x-30](https://img.qammunity.org/2020/formulas/mathematics/high-school/dca19xruh648wribu3jvd1vltbmt9fe7qk.png)