Answer
$23$
Work Step by Step
We start with the given expression: $x^2+2(x+y)$
We plug in the given values for $x$ and $y$: $3^2+2(3+4)$
We perform operations inside parentheses: $3^2+2(7)$
We simplify the exponent: $9+2(7)$
We multiply: $9+14$
We add: $23$