Final answer:
To simplify the expression 3b⁴(4-7b²), distribute 3b⁴ to each term inside the parentheses and combine the resulting terms, resulting in 12b⁴ - 21b⁶.
Step-by-step explanation:
To simplify the expression 3b⁴(4-7b²), we can distribute the 3b⁴ to each term inside the parentheses:
- Distribute 3b⁴ to 4: 3b⁴ * 4 = 12b⁴
- Distribute 3b⁴ to -7b²: 3b⁴ * -7b² = -21b⁶
Combining the two terms, we have: 12b⁴ - 21b⁶. This is the simplified answer.