Question

若[-3(x+y)^m*(x-y)^2n]^2*[-(x+y)^2]=-a(x+y)^10*(x-y)^12-n,求m,n的值。

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Answer 1

[-3(x+y)^m*(x-y)^2n]^2*[-(x+y)^2]
=9(x+y)^2m*(x-y)^4n*[-(x+y)^2]
=-9(x+y)^(2m+2)*(x-y)^4n
等式
=-a(x+y)^10*(x-y)^12-n
∴-a=-9
2m+2=10
4n=12-n
m=4
n=12/5
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