Simplify the given expression. \( 10 \div 2+(3-1)^{2}= \)

First, let's tackle the expression: \( 10 \div 2 + (3 - 1)^{2} \). Start by performing the division: \( 10 \div 2 = 5 \). Then, calculate the expression inside the parentheses: \( (3 - 1) = 2 \). Now, take that result and square it: \( 2^{2} = 4 \). Finally, add the two results together: \( 5 + 4 = 9 \). So, the simplified expression is \( 9 \).