Your correct answer is: 2y^3+28y-12
Let's simplify step-by-step. 6y3+17y−3−(4y3−11y+9)
Distribute the Negative Sign:
=6y3+17y−3+−1(4y3−11y+9)
=6y3+17y+−3+−1(4y3)+−1(−11y)+(−1)(9)
=6y3+17y+−3+−4y3+11y+−9
Combine Like Terms:
=6y3+17y+−3+−4y3+11y+−9
=(6y3+−4y3)+(17y+11y)+(−3+−9)
=2y3+28y+−12
Answer: =2y3+28y−12