Solution:
To solve the expression $$ 6 \div 2(1 + 2) $$, we have to follow the order of operations. The order of operations states that we must do calculations in parentheses first, then exponents, followed by multiplication and division from left to right, and finally, addition and subtraction from left to right.First, calculate the value inside the parentheses:$$ 1 + 2 = 3 $$Then your expression becomes:$$ 6 \div 2 \times 3 $$Next, we perform the division and multiplication from left to right:$$ 6 \div 2 = 3 $$Now, multiply by 3:$$ 3 \times 3 = 9 $$So, the answer is:\[ 9 \]