Question 7812

  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)