Final answer:
To multiply the expression (2a³-3)(3a³+4) using the FOIL method, we need to multiply the First terms, the Outer terms, the Inner terms, and the Last terms. The final answer is 6a^6 - a³ - 12.
Step-by-step explanation:
To multiply the expression (2a³-3)(3a³+4) using the FOIL method, we need to multiply the First terms, the Outer terms, the Inner terms, and the Last terms.
First: (2a³)(3a³) = 6a^6
Outer: (2a³)(4) = 8a³
Inner: (-3)(3a³) = -9a³
Last: (-3)(4) = -12
Now, we can combine these four terms to get the final answer: 6a^6 + 8a³ - 9a³ - 12. Simplifying further, the answer is 6a^6 - a³ - 12.