Answer:
[tex](9a+9b-8)(a+b+1)[/tex]
Step-by-step explanation:
[tex]9(a+b)^2 + (a+b)-8[/tex]
Expand [tex](a+b)^2[/tex]
[tex]9(a^2+2ab+b^2)+a+b-8[/tex]
[tex]9a^2+18ab+9b^2+a+b-8[/tex]
Now it is time to think.
Once
[tex]9a^2=9a \cdot a[/tex]
[tex]9b^2=9b \cdot b[/tex]
[tex]18ab=9ab+9ab[/tex]
[tex]-8=-8 \cdot 1[/tex]
We can get something in the format
[tex](9a+9b-8)(\text{some expression here})[/tex]
From the conclusions above,
[tex](9a+9b-8)(a+b+1)[/tex]