(4x3+2x+6)+(2x3-x2+2) 
Final result :
 6x3 - x2 + 2x + 8
Reformatting the input :
Changes made to your input should not affect the solution:
 (1): "x2" was replaced by "x^2". 2 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
 (((4•(x3))+2x)+6)+((2x3-x2)+2)
 Step 2 :
Equation at the end of step 2 :
 ((22x3 + 2x) + 6) + (2x3 - x2 + 2)
Step 3 :
Checking for a perfect cube :
 3.1 6x3-x2+2x+8 is not a perfect cube 
Trying to factor by pulling out :
 3.2 Factoring: 6x3-x2+2x+8 
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 2x+8 
Group 2: 6x3-x2 
Pull out from each group separately :
Group 1: (x+4) • (2)
Group 2: (6x-1) • (x2)