# How do you factor the expression y²+12y+35?

$\left(y + 5\right) \left(y + 7\right)$
$\text{the factors of + 35 which sum to + 12 are + 5 and + 7}$
$\Rightarrow {y}^{2} + 12 y + 35 = \left(y + 5\right) \left(y + 7\right)$