Answer:
It is 4x²y(x - 4)(x + 2)
Step-by-step explanation:
[tex] {4x}^{4} y - {8x}^{3} y - {32x}^{2} y[/tex]
factorise out 4x²y :
[tex] = 4 {x}^{2} y( {x}^{2} - 2x - 8)[/tex]
find the factors of x² - 2x - 8:
[tex] = 4 {x}^{2} y \{(x - 4)(x + 2) \}[/tex]
