Answer:

Step-by-step explanation:

Final result :

 (x - 2) • (4x + 1)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((x2)-4x)+3)+((3x2-3x)-5)

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4x2-7x-2  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -7x  its coefficient is  -7 .

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

Step-1 : MULTIPLY the coefficient of the first term by the constant   4 • -2 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -7 .

     -8    +    1    =    -7    That's it

Step-3 : REWRITE the POLYNOMIAL splitting the middle term using the two factors found in step 2 above,  -8  and  1  

                    4x2 - 8X + 1x - 2

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

                   4x • (x-2)

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

                    1 • (x-2)

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

                   (4x+1)  •  (x-2)

            Which is the desired factorization

Final result :

 (x - 2) • (4x + 1)