We have the following expression given:
[tex](x+9)(x-2)-9x-6[/tex][tex]x^2-2x+9x-18-9x-6[/tex][tex]x^2-2x-24[/tex]Then we just need to find two numbers that added are -2 and multiplied -24. And these numbers are -6 and 4. Because 4-6=-2.
4* (-6)=-24
And then we can write the solution like this:
[tex](x+4)(x-6)[/tex]