SOLUTION: Could you please help me with this problem? I am having trouble factoring: 8x^3y^6+27

Algebra ->  Expressions -> SOLUTION: Could you please help me with this problem? I am having trouble factoring: 8x^3y^6+27      Log On


   

Question 7812: Could you please help me with this problem? I am having trouble factoring:
8x^3y^6+27
Answer by pvrbrahmam(12) About Me  (Show Source):
You can put this solution on YOUR website!

Q;factorize 8x^3y^6+27
Sol : (2xy^2)^3 + 3^3
L.H.S is of the form a^3 + b^3 which can be written as product of
(a + b) and (a^2 -ab + b^2)
(2xy^2)^3 + 3^3 =(2xy^2 +3)((2xy^2)^2 - 6xy^2 +9)