计算:(m+n)(m-n)[mn-(m+n)²][(m-n)²+mn]

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 06:49:06
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]

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