Answer
$(2y+1)(5y+2)$
Work Step by Step
$10y^{2}+9y+2$
... Searching for two factors of $ac=20$ whose sum is $b=9,$
we find$\qquad 5$ and $4.$
Rewrite the middle term and factor in pairs:
$=10y^{2}+5y+4y+2=$
$=5y(2y+1)+2(2y+1)]$
=$(2y+1)(5y+2)$
