Answer:

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 ((7•(y2))-3y)-((22y2+2y)-2)

STEP  

2

:

Equation at the end of step

2

:

 (7y2 -  3y) -  (4y2 + 2y - 2)

STEP

3

:

Trying to factor by splitting the middle term

3.1     Factoring  3y2-5y+2  

The first term is,  3y2  its coefficient is  3 .

The middle term is,  -5y  its coefficient is  -5 .

The last term, "the constant", is  +2  

Step-1 : Multiply the coefficient of the first term by the constant   3 • 2 = 6  

Step-2 : Find two factors of  6  whose sum equals the coefficient of the middle term, which is   -5 .

     -6    +    -1    =    -7  

     -3    +    -2    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  -2  

                    3y2 - 3y - 2y - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3y • (y-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (y-1)

Step-5 : Add up the four terms of step 4 :

                   (3y-2)  •  (y-1)

            Which is the desired factorization

Final result :

 (y - 1) • (3y - 2)