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
Answers
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)