\[(x + 2)^{2} - (x - 3)(x + 3) =\]
\[= x^{2} + 4x + 4 - \left( x^{2} - 9 \right) =\]
\[= x^{2} + 4x + 4 - x^{2} + 9 =\]
\[= 4x + 13\]