Solution - Factoring multivariable polynomials

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "y4"   was replaced by   "y^4".  5 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  (((3•(x4))•(y2))+((12•(x2))•(y3)))+((2•3x3)•y4)
 Step  2  :

Equation at the end of step  2  :

  (((3•(x4))•(y2))+((22•3x2)•y3))+(2•3x3y4)
 Step  3  :

Equation at the end of step  3  :

  ((3x4 • y2) +  (22•3x2y3)) +  (2•3x3y4)

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   3x⁴y² + 6x³y⁴ + 12x²y³  =   3x²y² • (x² + 2xy² + 4y) 

Trying to factor a multi variable polynomial :

 5.2    Factoring    x² + 2xy² + 4y 

Try to factor this multi-variable trinomial using trial and error 

 Factorization fails

Final result :

  3x2y2 • (x2 + 2xy2 + 4y)