Answer
$ 4(8g^{2}-5h^{3})(8g^{2}+5h^{3})$
Work Step by Step
$256g^{4}-100h^{6}=$
...factor out the GCF, $4$.
$=4(64g^{4}-25h^{6})$
...write the expression in the parentheses as the difference of two squares.
...($a=8g^{2},b=5h^{3}$)
$=4(8g^{2}-5h^{3})(8g^{2}+5h^{3})$
