Question

What is the difference of the polynomials? (8r^6s^3 – 9r^5s^4 + 3r^4s^5) – (2r^4s^5 – 5r^3s^6 – 4r^5s^4)

Answer 1

Answer:

$8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6$

Step-by-step explanation:

The two given polynomials are :

$(8r^6s^3-9r^5s^4+3r^4s^5)$ and

$(2r^4s^5-5r^3s^6- 4r^5s^4)$

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

$8r^6s^3-9r^5s^4-(-4r^5s^4)+3r^4s^5-2r^4s^5-(-5r^3s^6)$

= $8r^6s^3-9r^5s^4+4r^5s^4+3r^4s^5-2r^4s^5+5r^3s^6$

= $8r^6s^3-5r^5s^4+r^4s^5+5r^3s^6$   ... (answer)

Answer 2

(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