Final answer:
To solve the expression (y^2 - 4)(4 - 2y^3), you can use the distributive property of multiplication to simplify the expression into individual terms.
Step-by-step explanation:
To solve the expression (y^2 - 4)(4 - 2y^3), we can use the distributive property of multiplication which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
So, starting with the first binomial (y^2 - 4), we can distribute the second binomial (4 - 2y^3) into it:
(y^2 - 4)(4 - 2y^3) = y^2(4 - 2y^3) - 4(4 - 2y^3)
Now, we can simplify each term:
y^2(4 - 2y^3) = 4y^2 - 2y^5
-4(4 - 2y^3) = -16 + 8y^3
Combining the two simplified terms, we get:
4y^2 - 2y^5 - 16 + 8y^3