What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

Distribute the minus sign across the second polynomial, changing each of its signs: 8r⁶s³ − 9r⁵s⁴ + 3r⁴s⁵ − 2r⁴s⁵ + 5r³s⁶ + 4r⁵s⁴. Combine like terms: the r⁵s⁴ terms give −9 + 4 = −5, and the r⁴s⁵ terms give 3 − 2 = 1. The result is 8r⁶s³ − 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶, which is choice C.

AI-written and checked against the verified answer.