Question

What is the difference of the polynomials?

(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

6r6s3 – 4r5s4 + 7r4s5
6r6s3 – 13r5s4 – r4s5
8r6s3 – 5r5s4 + r4s5 + 5r3s6
8r6s3 – 13r5s4 + r4s5 – 5r3s6

Answer 1

Subtract the second polynomial (change its signs) and combine like terms:

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 − 5r^5s^4 + r^4s^5 + 5r^3s^6.

Answer: 8r6s3 – 5r5s4 + r4s5 + 5r3s6 (option 3).