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3b⁴(4-7b²) Simplify your answer as much as possible

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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:

  1. Distribute 3b⁴ to 4: 3b⁴ * 4 = 12b⁴
  2. Distribute 3b⁴ to -7b²: 3b⁴ * -7b² = -21b⁶

Combining the two terms, we have: 12b⁴ - 21b⁶. This is the simplified answer.

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