Respuesta :

- 2 b (a + c) would be the answer when simplifying the given expression

Step-by-step explanation:

Given expression:

             a b + b c - 3 a b - 3 b c

To simplify the given equation, first we should see for the common term presented (split and consider into two) as below,

"a b + b c" in this 'b' seems to be common. So, we can write this as

          b ( a + c) -------> eq. 1

"- 3 a b - 3 b c"  in this '3 b' seems to be common. So, we can write this as

           - 3 b ( a + c) -------> eq. 2

Combine both eq.1 and 2, we get

             ==> b ( a + c) - 3 b ( a + c)

In above, b (a + c) is common. Hence, further simplied as below

              ==> (b (a + c)) (1 -3)

              ==> ( b (a + c)) (- 2)

              ==> - 2 b ( a + c)