Question

Resolver cocientes notables
Pregunta 1: m⁷- n⁷ / m - n Pregunta 2: a⁸ + b⁸ / a² + b²

Answer 1

1) m 6-n 6  2) a 6+b 6

Answer 2

Explicación paso a paso:

Cociente notables.

Tenemos :

$\dfrac{m^{7}-n^{7}}{m-n} = m^{6} + m^{5}n +m^{4}n^{2} + m^{3}n^{3}+m^{2}n^{4}+mn^{5}+n^{6} \\ \\ \\ \\ \dfrac{a^{8}+b^{8}}{a^{2}+b^{2}}=\dfrac{(a^{2})^{4}+(b^{2})^{4}    }{a^{2}+b^{2}}= (a^{2})^{3}b - (a^{2})^{2}(b)^{2}  + a^{2}(b^{3}) = a^{6}b - a^{4}b^{2} + a^{2}b^{3}$