Question

One of the factors of 4(x + y)(3a - b)
+ 6 (x + y)(2b - 3a) is
please solve this in copy and send by clicking picture​

Answer 1

Answer:

 -2 • (x + y) • (3a - 4b)

Step-by-step explanation:

4(x+y)(3a-b)+6(x+y)(2b-3a)  

Final result :

 -2 • (x + y) • (3a - 4b)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((4•(x+y))•(3a-b))+(6•(x+y)•(2b-3a))

Step  2  :

Equation at the end of step  2  :

 ((4•(x+y))•(3a-b))+6•(x+y)•(2b-3a)

Step  3  :

Equation at the end of step  3  :

 (4•(x+y)•(3a-b))+6•(x+y)•(2b-3a)

Step  4  :

Equation at the end of step  4  :

 4•(x+y)•(3a-b)+6•(x+y)•(2b-3a)

Step  5  :

Pulling out like terms :

5.1      Pull out     x+y  

After pulling out, we are left with :  

     (x+y) • ( 4  *  1  *  (3a-b) - 6  *  (-1)  *  (2b-3a) ))

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  8b - 6a  =   -2 • (3a - 4b)  

Final result :

 -2 • (x + y) • (3a - 4b)