\[5 \cdot (x + 2)(x + 3) =\]
\[= 5 \cdot \left( x^{2} + 3x + 2x + 6 \right) =\]
\[= 5 \cdot \left( x^{2} + 5x + 6 \right) =\]
\[= 5x^{2} + 25x + 30.\]