What is the quotient of (x³-3x²+3x-2) ÷ (x²-x+1)?

(x2 - x + 1)2 • (x - 2)

Step-by-step 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.

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