作业帮{[xˆ(-2)+yˆ(-2)]/[xˆ(-2/3)+yˆ(-2/3)]}-{[xˆ(-2)-yˆ(-2)]/xˆ(-2/3)-yˆ(-2/3)}
来源：学生作业帮助网 编辑：作业帮 时间：2024/07/20 15:37:26
![{[xˆ(-2)+yˆ(-2)]/[xˆ(-2/3)+yˆ(-2/3)]}-{[xˆ(-2)-yˆ(-2)]/xˆ(-2/3)-yˆ(-2/3)}](/uploads/image/z/2689611-51-1.jpg?t=%7B%5Bx%26%23710%3B%28-2%29%2By%26%23710%3B%28-2%29%5D%2F%5Bx%26%23710%3B%28-2%2F3%29%2By%26%23710%3B%28-2%2F3%29%5D%7D-%7B%5Bx%26%23710%3B%28-2%29-y%26%23710%3B%28-2%29%5D%2Fx%26%23710%3B%28-2%2F3%29-y%26%23710%3B%28-2%2F3%29%7D)
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{[xˆ(-2)+yˆ(-2)]/[xˆ(-2/3)+yˆ(-2/3)]}-{[xˆ(-2)-yˆ(-2)]/xˆ(-2/3)-yˆ(-2/3)}
{[xˆ(-2)+yˆ(-2)]/[xˆ(-2/3)+yˆ(-2/3)]}-{[xˆ(-2)-yˆ(-2)]/xˆ(-2/3)-yˆ(-2/3)}
{[xˆ(-2)+yˆ(-2)]/[xˆ(-2/3)+yˆ(-2/3)]}-{[xˆ(-2)-yˆ(-2)]/xˆ(-2/3)-yˆ(-2/3)}
原式=[x^﹙-2/3﹚+y^﹙-2/3﹚][(x^﹙﹣4/3﹚-x^﹙﹣2/3﹚y^﹙-2/3﹚+y^﹙-4/3)] /
(x^﹙﹣2/3﹚+y^﹙-2/3)-[x^﹙﹣2/3﹚-y^﹙-2/3)][(x^﹙﹣4/3﹚+x^﹙﹣2/3﹚y^﹙-2/3﹚+y^﹙-4/3) ]/[x^﹙﹣2/3﹚-y^﹙-2/3)]
=x^﹙﹣4/3﹚-x^﹙﹣2/3﹚y^﹙-2/3﹚+y^﹙-4/3﹚-x^﹙﹣4/3﹚-x^﹙﹣2/3﹚y^﹙-2/3﹚-y^﹙-4/3﹚
=﹣2x^﹙﹣2/3﹚y^﹙-2/3﹚
我看不清呀
分子是立方和和立方差
原式=(x^2/3+y^-2/3)(x^4/3-x^2/3y^-2/3+y^-4/3) /(x^2/3+y^-2/3)-(x^2/3-y^-2/3)(x^4/3+x^2/3y^-2/3+y^-4/3) /(x^2/3-y^-2/3)
=x^4/3-x^2/3y^-2/3+y^-4/3-x^4/3-x^2/3y^-2/3-y^-4/3
=-2x^2/3y^-2/3