Solution - Identifying perfect cubes

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "n6"   was replaced by   "n^6".  4 more similar replacement(s).

Step  1  :

Equation at the end of step  1  :

  (((m3)+((3•(m2))•(n2)))+3mn4)+n6
 Step  2  :

Equation at the end of step  2  :

  (((m3) +  (3m2 • n2)) +  3mn4) +  n6

Step  3  :

Checking for a perfect cube :

 3.1    Factoring:  m³+3m²n²+3mn⁴+n⁶ 
 .

  m³+3m²n²+3mn⁴+n⁶  is a perfect cube which means it is the cube of another polynomial 

 In our case, the cubic root of  m³+3m²n²+3mn⁴+n⁶  is  m+n²  

 Factorization is  (m+n²)³

Final result :

  (m + n2)3