Answer:

-2ab • (2a2 + 3ab + 2b2)

Step by step solution:

STEP

1

:

Equation at the end of step 1

 ((0-((4•(a3))•b))-((6•(a2))•(b2)))-22ab3

STEP  

2

:

Equation at the end of step

2

:

 ((0-((4•(a3))•b))-((2•3a2)•b2))-22ab3

STEP  

3

:

Equation at the end of step

3

:

 ((0 -  (22a3 • b)) -  (2•3a2b2)) -  22ab3

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  -4a3b - 6a2b2 - 4ab3  =   -2ab • (2a2 + 3ab + 2b2)  

Trying to factor a multi variable polynomial :

5.2    Factoring    2a2 + 3ab + 2b2  

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

Factorization fails

Final result :

 -2ab • (2a2 + 3ab + 2b2)

Calculated