Answer:
(2x² + 3y)(4 - 6x²y + 9y²)
Step-by-step explanation:
A sum of cubes is factored in general as
a³ + b³ = (a + b)(a² - ab + b²) , thus
8 + 27y³
= (2x²)³ + (3y)³ with a = 2x² and b = 3y
= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)
= (2x² + 3y)(4 - 6x²y + 9y²)