Question

Si: m4 – n4 = 8 ; m2 – n2 = 2;
Calcula A = (m + n)2 + (m – n)2

Answer 1

Respuesta:

A = 8 espero que te ayude

Explicación paso a paso:

$m^{4}-n^{4} =8=(m^{2}+n^{2})(m^{2}-n^{2})$

$m^{2}-n^{2}=2$

$m^{4}-n^{4} =8\\(m^{2}+n^{2})(m^{2}-n^{2})=8\\(m^{2}+n^{2})(2)=8\\(m^{2}+n^{2})=4$

A=$(m+n)^{2} +(m-n)^{2}$

A= $m^{2}+2mn+n^{2}+m^{2}-2mn+n^{2} =2m^{2}+2n^{2}=2(m^{2}+n^{2})\\2(4) = 8$