Respuesta :

(8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4)
8r^6s^3 – 9r^5s^4 + 3r^4s^5 – 2r^4s^5 +  5r^3s^6 + 4r^5s^4
8r^6s^3 – 9r^5s^4 +  4r^5s^4 + 3r^4s^5 – 2r^4s^5 +  5r^3s^6 
= 8r^6s^3 – 5r^5s^4 + r^4s^5  +  5r^3s^6 

Hope it helps

Answer:

[tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6[/tex]

Step-by-step explanation:

The two given polynomials are :

[tex](8r^6s^3-9r^5s^4+3r^4s^5)[/tex] and

[tex](2r^4s^5-5r^3s^6- 4r^5s^4)[/tex]

We have to find the difference between them, so we will arrange them in order.

[tex]8r^6s^3-9r^5s^4-(-4r^5s^4)+3r^4s^5-2r^4s^5-(-5r^3s^6)[/tex]

= [tex]8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6[/tex]

= [tex]8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6[/tex]   ... (answer)