Calculate: 8y^2+14y+3

Expression: $8{y}^{2}+14y+3$

Write $14y$ as a sum

$8{y}^{2}+12y+2y+3$

Factor out $4y$ from the expression

$4y \times \left( 2y+3 \right)+2y+3$

Factor out $2y+3$ from the expression

$\left( 2y+3 \right) \times \left( 4y+1 \right)$