设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/07 11:35:58
设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
x͑J@F( cv$y2nHU KivךЧL*L 9sKRTb1msr)AD 那걿eʼn8TԎa{ڔ i%\U m ~Vîe '1/ No}У^mI|Ll)M_YD>缾9' 'éfNtW-!f868(;a(d*9qI l-

设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.
求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值

设m和n均不为0,3x^2y^3和-5x^(2+2m+n)y^3是同类项.求(3m³-m²n+3mn²+9n³)/(5m³+3m²n-6mn²+9n³)的值
根据题意有:
2+2m+n=2
所以
2m+n=0
所以
n=-2m
将n=-2m代入(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)得:
(3m^3-m^2n+3mn^2-6mn^2+9n^3)\(5m^3+3m^2n-6mn^2+9n^3)
=(-65m^3)/(-97m^3)
=65/97

65/97