Final answer:
Subtract the second polynomial from the first, combining like terms to find the difference, which simplifies to 9b⁴ - 26b³ + 3b² - 18b + 13.
Step-by-step explanation:
To find the difference, subtract the second polynomial from the first one:
(9b⁴-18b³+19b²-10b+13) - (8b³+16b²+8b)
= 9b⁴-18b³+19b²-10b+13 - 8b³-16b²-8b
= 9b⁴ - (18b³ + 8b³) + (19b² - 16b²) - (10b + 8b) + 13
= 9b⁴ - 26b³ + 3b² - 18b + 13
This is the simplified form of the polynomial after carrying out the subtraction.