Question

find factors of (x-y)²-6(x-y)+5​

Answer 1

Answer:

STEP1:Equation at the end of step 1

(((x - y)2) - 5 • (x - y)) - 6

STEP 2 :

Trying to factor by pulling out :

 2.1      Factoring:  x2-2xy-5x+y2+5y-6 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  5y-5x 

Group 2:  x2-2xy 

Group 3:  y2-6 

Pull out from each group separately :

Group 1:   (x-y) • (-5)

Group 2:   (x-2y) • (x)

Group 3:   (y2-6) • (1)

Looking for common sub-expressions : 

Group 1:   (x-y) • (-5)

Group 3:   (y2-6) • (1)

Group 2:   (x-2y) • (x)

Bad news !! Factoring by pulling out fails : 

The groups have no common factor and can not be added up to form a multiplication.

Final result :

x2 - 2xy - 5x + y2 + 5y - 6