Answer:
  (x + 6) • (x + 2) • (x - 4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
  (((x3) +  22x2) -  20x) -  48
STEP
2
:
Checking for a perfect cube
 2.1    x3+4x2-20x-48  is not a perfect cube
Trying to factor by pulling out :
 2.2      Factoring:  x3+4x2-20x-48  
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1:  x3-48  
Group 2:  4x2-20x  
Pull out from each group separately :
Group 1:   (x3-48) • (1)
Group 2:   (x-5) • (4x)