ANSWER
[tex]-6x^2-11x-10[/tex]EXPLANATION
We want to find the difference between the two expressions:
[tex](x^2-9x-7)-(7x^2+2x+3)[/tex]To do this, we will subtract like terms from one another.
That is:
[tex]x^2-7x^2-9x-2x-7-3[/tex]Simplifying the expression, we have:
[tex]-6x^2-11x-10[/tex]That is the answer.