Final answer:
The expression that matches the given expression [4X⁴ y³ + 10X³ Y² - 16x² y] is (4X³ Y² - 16X² Y).
Step-by-step explanation:
The given expression is:
[4X⁴ y³ + 10X³ Y² - 16x² y]
From the options provided, the expression that matches the given expression is (d) (4X³ Y² - 16X² Y).
Therefore, option (d) is the correct answer.