计算:(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2

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计算:(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2

计算:(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2
计算:(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2

计算:(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2
(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2
=x-y-(x+y)
=-2y

原式=(x-y)^7÷(x-y)^6+-(x+y)^3÷(x+y)^2
=(x-y)+-(x+y)
=x-y-x-y
=-2y

(x—y)^7÷(y—x)^6+(—x—y)^3÷(x+y)^2
=-(x-y)^7÷(x-y)^6-(x+y)³÷(x+y)²
=-x+y-x-y
=-2x

=(x-y)^7÷(x-y)^6-(x y)^3÷(x y)^2=(x-y)-(x y)=-2y