Докажите тождество:
$(m^3 - n^3)^2(m^3 + n^3)^2 - (m^6 + n^6)^2 = -4m^6n^6$
$(m^3 - n^3)^2(m^3 + n^3)^2 - (m^6 + n^6)^2 = ((m^3 - n^3)(m^3 + n^3) - (m^6 + n^6))((m^3 - n^3)(m^3 + n^3) + (m^6 + n^6)) = ((m^6 - n^6) - (m^6 + n^6))((m^6 - n^6) + (m^6 + n^6)) = (m^6 - n^6 - m^6 - n^6)(m^6 - n^6 + m^6 + n^6) = -2n^6 * 2m^6 = -4m^6n^6$
$-4m^6n^6 = -4m^6n^6$
Пожауйста, оцените решение
