Factorise the following:

4x³y - 44x²y + 112xy

4x³y - 44x²y + 112xy = 4xy(x² - 11x + 28)

= 4xy(x² - 7x - 4x + 28)

= 4xy[x(x - 7) - 4(x - 7)]

= 4xy(x - 7)(x - 4).

Hence, 4x³y - 44x²y + 112xy = 4xy(x - 7)(x - 4).