Answer
$(2m-1)(2m+1)(2m+3)$
Work Step by Step
$8m^{3}+12m^{2}-2m-3=$
...factor out the GCF of each group of two terms.
$=4m^{2}(2m+3)-1(2m+3)$
...factor out the common factor, $2m+3$.
$=(4m^{2}-1)(2m+3)$
...write $4m^{2}-1$ as a difference of two squares.
$=(2m-1)(2m+1)(2m+3)$
