Answer:
[tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6[/tex]
Step-by-step explanation:
We want to simplify;
[tex](8r^6s^3-9r^5s^4+3r^4s^5)-(2r^4s^5-5r^3s^6-4r^5s^4)[/tex]
We expand the bracket to obtain;
[tex]8r^6s^3-9r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6+4r^5s^4[/tex]
We now group the like terms to obtain;
[tex]8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6[/tex]
We now simplify to get;
[tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6[/tex]
The correct answer is C
