Fully expand and simplify ( 2 𝑦 + 9 ) ( 4 𝑦^2 + 7 𝑦 + 2 )
First, we will distribute the terms of the first expression into the second expression:
(2𝑦) (4𝑦^2 + 7𝑦 + 2) + (9) (4𝑦^2 + 7𝑦 + 2)
Expanding this further, we get:
8𝑦^3 + 14𝑦^2 + 4𝑦 + 36𝑦^2 + 63𝑦 + 18
Combining like terms, we get:
8𝑦^3 + 50𝑦^2 + 67𝑦 + 18
Therefore, (2𝑦 + 9) (4𝑦^2 + 7𝑦 + 2) simplifies to 8𝑦^3 + 50𝑦^2 + 67𝑦 + 18.