Question

Reducir la siguiente expresión:K = (m - n2)(m + n2)(m2 + n4)(m4+ n8) - m8

porfavor resolución exacta pliss ​

Answer 1

Respuesta:

$K=m^7n^3-m^7n^2+m^6n^4-m^6n^5+m^5n^7-m^5n^6+m^4n^8-m^4n^9+m^3n^{11}-m^3n^{10}+m^2n^{12}-m^2n^{13}+mn^{15}-mn^{14}-n^{17}$

Explicación paso a paso:

$K=(m-n^2)(m+n^3)(m^2+n^4)(m^4+n^8)-m^8\\K=(m^2+mn^3-mn^2-n^5)(m^6+m^2n^8+m^4n^4+n^{12})-m^8\\K=m^8+m^4n^8+m^6n^4+m^2n^{12}+m^7n^3+m^3n^{11}+m^5n^7+mn^{15}-m^7n^2-m^3n^{10}-m^5n^6-mn^{14}-m^6n^5-m^2n^{13}-m^4n^9-n^{17}-m^8\\K=m^7n^3-m^7n^2+m^6n^4-m^6n^5+m^5n^7-m^5n^6+m^4n^8-m^4n^9+m^3n^{11}-m^3n^{10}+m^2n^{12}-m^2n^{13}+mn^{15}-mn^{14}-n^{17}$