Question

Hola me podrian ayudar aencontrar el resultado... Gracias
M6-n6 entre m2-n2

Answer 1

$\frac{ m^{6} - n^{6} }{ m^{2} - n^{2} } = \frac{ (m^{3} - n^{3})(m^{3} + n^{3}) }{ (m- n)( m +n) }$
$\frac{ m^{6} - n^{6} }{ m^{2} - n^{2} } = \frac{ (m- n)(m^{2}+mn+n^{2})(m+ n)(m^{2}-mn + n^{2}) }{ (m- n)( m +n) }$
$\frac{ m^{6} - n^{6} }{ m^{2} - n^{2} } = (m^{2}+mn+n^{2})(m^{2}-mn + n^{2})$
$\frac{ m^{6} - n^{6} }{ m^{2} - n^{2} } = m^{4}+m^{2}n^{2}+ n^{4}$