Question

Simplify the following expression:

(3a + 2b – 2c) + (2a – 4b – c) + (a – 4b + 3c)
Option 1: 6a - 6b
Option 2: 6a - 10b + 2c
Option 3: 6a - 10b - 2c
Option 4: 6a - 2b + 2c

Answer 1

the correct option is:

Option 1: 6a - 6b

Explanation:

Let's simplify the given expression step by step:

(3a + 2b – 2c) + (2a – 4b – c) + (a – 4b + 3c)

Distribute the terms in each set of parentheses:

3a + 2b - 2c + 2a - 4b - c + a - 4b + 3c

Combine like terms:

(3a + 2a + a) + (2b - 4b - 4b) + (-2c - c + 3c)

6a - 6b + 0c

Simplify the terms with coefficients:

6a - 6b

The simplified expression is 6a - 6b.