Solution:
This mathematical expression involves the basic operations: division and multiplication. To solve this, we will follow the order of operations, commonly remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). First, solve the expression inside the parentheses:$$1 + 2 = 3$$Now the original expression simplifies to:$$6 \div 2(3)$$Following the order of operations, we perform the division and multiplication from left to right:$$3(3) = 9$$Thus, the result of the expression $$6 \div 2(1+2)$$ is $$9$$.