Help factoring.

Question

The question is x^3 y^3 + 27.

Answer 1

Hi Melanie,

 

x^3y^3+27

=(xy+3)(x^2y^2-3xy+9).......................................using x^3+y^3=(x+y)(x^2-xy+y^2)

 

 

 

Meena 

Answer 2

This is in the form a³ + b³, where a is xy and b is 3. The factoring formula is a³ + b³ = (a + b)*(a² - ab + b²).

 

x³y³ +27 = (xy)³ + 3³ = (xy + 3)(x²y² - 3xy + 9)