6x⁵y - 24xy³

Answer:

6xy(x² + 2y)(x² - 2y)

Step-by-step explanation:

6x⁵y - 24xy³ [the problem]

6(x⁵y - 4xy³) [divide both terms by their numerical GCF, which is 6]

6xy(x⁴ - 4y²) [divide both terms by their common variables, which is x and y]

6xy(x² + 2y)(x² - 2y) [using the formula for the difference of two squares, the square root of x⁴ being x² and the square root of 4y² being 2y]

Hope this helps! :D