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Help factoring.

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

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 
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).
 
x3y+27 = (xy)+ 3= (xy + 3)(x2y- 3xy + 9)