Answer:
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
Step-by-step explanation:
Given:
Product of 2x^2 – 3xy + y^2 and 2x – 4y
Product means multiplication
(2x^2 – 3xy + y^2) (2x – 4y)
Open the bracket
= 4x^3 - 8x^2y - 6x^2y + 12xy^2 + 2xy^2 - 4y^3
Simplify the like terms
= 4x^3 - 14x^2y + 14xy^2 - 4y^3
The answer is
C. 4x^3 - 14x^2y + 14xy^2 - 4y^3
