若[-3(x+y)m(x-y)2n]2•[-(x+y)2]=-9(x+y)10(x-y)12-n,求m、n的值.

问题描述:

若[-3(x+y)m(x-y)2n]2•[-(x+y)2]=-9(x+y)10(x-y)12-n,求m、n的值.

∵[-3(x+y)m(x-y)2n]2•[-(x+y)2]=-9(x+y)2m+2(x-y)4n=-9(x+y)10(x-y)12-n
∴2m+2=10,4n=12-n,
解得m=4,n=

12
5