230问答网 > 先化简,再求值:(x^2-y^2⼀xy)^2÷(x+y) ∠(x⼀x-y)^3,其中x=-1⼀2,y=-1

先化简,再求值:(x^2-y^2⼀xy)^2÷(x+y) ∠(x⼀x-y)^3,其中x=-1⼀2,y=-1

2025-01-01 09:07:49

推荐回答（2个）

回答1：

(x^2-y^2/xy)^2÷(x+y) •(x/x-y)^3
=x^2y^2/(x+y)^2(x-y)^2×1/(x+y)×x^3/(x-y)^3;
=x^5y^2/(x+y)^3(x-y)^5;
=(-1/2)^5×(-1)^2/(-1/2-1)³(-1/2+1)^5;
=8/27;

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回答2：

[(x²-y²)/(xy)]÷(x+y)×[x/(x-y)]³
=[(x-y)/(xy)]×x³/(x-y)³
=x²/[y×(x-y)²]
=(1/4)/{-1×[(-1/2)-(-1)]²}
=-1