Question

4a4 + 6a3b2 + 2a2b3

Answer 1

 4a4+6a3b2+2a2b3 

Final result :

2a2 • (2a2 + 3ab2 + b3)

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "b3"   was replaced by   "b^3".  4 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

((4•(a4))+((6•(a3))•(b2)))+(2a2•b3)

Step  2  :

Equation at the end of step  2  :

((4 • (a4)) + ((2•3a3) • b2)) + 2a2b3

Step  3  :

Equation at the end of step  3  :

(22a4 + (2•3a3b2)) + 2a2b3

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4a4 + 6a3b2 + 2a2b3  =   2a2 • (2a2 + 3ab2 + b3) 

Trying to factor a multi variable polynomial :

 5.2    Factoring    2a2 + 3ab2 + b3 

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

 Factorization fails

Final result :

2a2 • (2a2 + 3ab2 + b3)