Question 571525
Factor the numerator and denominator, then cancel the common factors

{{{(m^2+4m-32)/(mq+8q) = (m+8)(m-4)/q(m+8)}}}
                       = {{{cross((m+8))(m-4)/q(cross(m+8))}}}
                       = {{{(m-4)/q}}}

Answer: {{{(m-4)/q}}}