6:2(1+2)

To solve the expression \(6:2(1+2)\), we follow the order of operations (also known as PEMDAS/BODMAS rules: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Evaluate the parentheses: \[ 1 + 2 = 3 \] So, the expression becomes \(6:2(3)\).

2. Rewrite the division as multiplication by the reciprocal: \[ 6 : 2 = \frac{6}{2} = 3 \] Now the expression is \(3(3)\).

3. Multiply: \[ 3 \times 3 = 9 \]

Thus, the final answer is \(9\).