Answer: [tex]6x^2+8x-21[/tex]
Step-by-step explanation:
Let the another expression be P.
Then according to the question,
[tex]-15x^2-5x+11+P=-9x^2+3x-10[/tex]
[tex]\\\Rightarrow\ P=-9x^2+3x-10-(-15x^2-5x+11)[/tex]
Open bracket and multiply (-) inside in the bracket, we get
[tex]P=-9x^2+3x-10+15x^2+5x-11[/tex]
Combining like terms , we get
[tex]\\\Rightarrow\ P=-9x^2+15x^2+3x+5x-10-11\\\Rightarrow\ P=6x^2+8x-21[/tex]