To multiply the given expression, we can use the distributive property.
(2x - y)(4x² + 2xy + y²) = 2x(4x²) + 2x(2xy) + 2x(y²) - y(4x²) - y(2xy) - y(y²)
Simplifying each term:
= 8x³ + 4x²y + 2xy² - 4x²y - 2xy² - y³
Combining like terms, we can combine the middle terms:
= 8x³ - 4x²y - 2xy² - y³
(2x - y)(4x² + 2xy + y²)
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