$$(\frac{m^{a}}{m^{b}})^{a+b}(\frac{m^{b}}{m^{c}})^{b+c}(\frac{m^{c}}{m^{a}})^{c+a}=?$$
$\left(a^{2}-b^{2}\right)m^{a-b-1}\left(m^{a-b}\right)^{a+b-1}\left(m^{b-c}\right)^{b+c}\left(m^{c-a}\right)^{a+c}+\left(b^{2}-c^{2}\right)m^{b-c-1}\left(m^{a-b}\right)^{a+b}\left(m^{b-c}\right)^{b+c-1}\left(m^{c-a}\right)^{a+c}+\left(c^{2}-a^{2}\right)m^{c-a-1}\left(m^{a-b}\right)^{a+b}\left(m^{b-c}\right)^{b+c}\left(m^{c-a}\right)^{a+c-1}$
