Fully expand and simplify: ( 4 𝑦 + 3 ) ( 3 𝑦 6 + 9^𝑦 + 8 )

Answer 1

First, apply distributive property:

= 4𝑦 * 3𝑦^6 + 4𝑦 * 9^𝑦 + 4𝑦 * 8 + 3 * 3𝑦^6 + 3 * 9^𝑦 + 3 * 8

Next, simplify each term:

= 12𝑦^7 + 36𝑦 + 32 + 9𝑦^6 + 27^𝑦 + 24

Combine like terms:

= 12𝑦^7 + 9𝑦^6 + 36𝑦 + 27𝑦 + 32 + 24

Finally, simplify further:

= 12𝑦^7 + 9𝑦^6 + 63𝑦 + 56