Answer:
(x2 - x + 1)2 • (x - 2)
Explanation:
Step 1 :
Equation at the end of step 1 :
((((x3)-3x2)+3x)-2)•(x2-x+1)
Step 2 :
Checking for a perfect cube :
2.1 x3-3x2+3x-2 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x3-3x2+3x-2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 3x-2
Group 2: -3x2+x3
Pull out from each group separately :
Group 1: (3x-2) • (1)
Group 2: (x-3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.