Verified answer

³√[ g⁶h³ - 27g⁴h³ ]

Factor out g³h³

³√[ (g³h³)(g³ - 27g) ]

Take out the cube root of (g³h³)

gh ³√(g³ - 27g) <–––––– answer B

Yo mama got cubes

First, inside the radical factor out g³h³ making it

g³h³ (g³ - 27 g)

Since the g³h³ is now a factor, you can split it off and do its cube root, just gh

so gh outside the cube root and g³ - 27g still inside

answer B