计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]

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计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]计算:(m+n)(m

计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]
计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]

计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]
:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]
=(m+n)(m-n)[mn-(m²+2mn+n²)(m²-2mn+n²+mn)
=-(m+n)(m²-mn+n²)(m-n)(m²+mn+n²)
=-(m³+n³)(m³-n³)
=-(m^6-n^6)
=n^6-m^6

(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn] = (m+n)(m-n)(-m^2—mn—n^2)(m^2—mn+n^2)
=-(m-n)(m^2+mn+n^2)(m+n)(m^2—mn+n^2)= -(m^3-n^3)(m^3+n^3)=-(m^6-n^6)=n^6-m^6