We know that the numerical coefficients of given numerical are 6 and18

The greatest common factor of 6 and 18 is 6

Common literals appearing in given numerical are x and y

Smallest power of x in three monomial is 2

Smallest power of y in three monomial is 1

Monomial of common literals with smallest power is x^{2}y

∴ The greatest common factor = 6x^{2}y

Divide as directed (x^{4} – 81) ÷ (x^{3} + 3x^{2} + 9x + 27)

Divide as directed (3x^{3} – 6x^{2} – 24x) ÷ (x – 4) (x + 2)

Divide as directed 15(y + 3)(y^{2} – 16) ÷ 5(y^{2} – y – 12)