fully expand and simplify:

(4y^9 + 6) (2y^8 + 9)

First, we will use the distributive property to expand the expression:

(4y^9)(2y^8) + (4y^9)(9) + (6)(2y^8) + (6)(9)

Next, we will simplify each term:

8y^17 + 36y^9 + 12y^8 + 54

Therefore, the fully expanded and simplified expression is:

8y^17 + 12y^8 + 36y^9 + 54