Simplify: 1/3(6ab - 9b) + 2/3(9ab + 12b)
Responses
5ab+8b
5ab-8b
8ab+5b
8ab-5b
To simplify 1/3(6ab - 9b) + 2/3(9ab + 12b), we can multiply the coefficients by the fractions separately and then combine like terms.
1/3(6ab - 9b) = (1/3 * 6ab) - (1/3 * 9b) = 2ab - 3b
2/3(9ab + 12b) = (2/3 * 9ab) + (2/3 * 12b) = 6ab + 8b
Now, we can combine like terms:
(2ab - 3b) + (6ab + 8b) = 2ab + 6ab - 3b + 8b = 8ab + 5b
Therefore, the simplified expression is 8ab + 5b.