Answer
$(3y+1)(4y^{2}-3)$
Work Step by Step
$12y^{3}=2.2.3.y.y.y$ and $4y^{2}=2.2.y.y$
Hence, $GCF=$$2.2.y.y=4y^{2}$
$9y=$$3.3.y$ and $3=3.1$
Hence, $GCF=3$
After grouping;
$=(12y^{3}+4y^{2})-(9y+3)$
$=4y^{2}(3y+1)-3(3y+1)$
$=(3y+1)(4y^{2}-3)$