Final answer:
To find the product of (2b-3)(4b² 4b 4), we use the distributive property to multiply each term separately and then combine like terms.
Step-by-step explanation:
To find the product of (2b-3)(4b² 4b 4), we can use the distributive property. This property states that multiplying a number or expression by a sum or difference is the same as multiplying it by each term separately and then adding or subtracting the results. Applying this property here, we have:
(2b-3)(4b² 4b 4) = 2b(4b²) + 2b(4b) + 2b(4) - 3(4b²) - 3(4b) - 3(4)
Expanding each term and combining like terms, we obtain:
8b³ + 8b² + 8b - 12b² - 12b - 12
Combining like terms again, the final product is:
8b³ - 4b² - 4b - 12
Learn more about Multiplying Polynomials