To simplify the expression \((1+3)^2 - \frac{10}{2}\), follow these steps:
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Calculate the inside of the parentheses: \[ 1 + 3 = 4 \]
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Square the result: \[ (4)^2 = 16 \]
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Calculate \(\frac{10}{2}\): \[ \frac{10}{2} = 5 \]
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Now substitute these results back into the expression: \[ 16 - 5 \]
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Finally, perform the subtraction: \[ 16 - 5 = 11 \]
So, the simplified expression is \( \boxed{11} \).