- 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)