Answer
$24m^{2}-34m+7$
Work Step by Step
$(4m-1)(6m-7)=$
$...$distribute the second factor, $(6m-7)$.
$=4m(6m-7)-1(6m-7)\qquad$...distribute $4m$.
$=24m^{2}-28m-1(6m-7)\qquad$ ...distribute $-1$.
$=24m^{2}-28m-6m+7 \qquad$...gather like terms.
=$24m^{2}-34m+7$