先化简,再求值除以y分之x的平方

2024-12-02 22:39:51
推荐回答(1个)
回答1:

先化简,再求值:y(x-y)-x(x+y)/x平方-y平方除以x平方+y平方/x+y,其中x=2,y=1
[y(x-y)-x(x+y)]/(x^2-y^2)÷(x^2+y^2)/x+y
=(yx-y^2-x^2-xy)/(x+y)(x-y)*(x+y)/(x^2+y^2)
=-(x^2+y^2)/(x+y)(x-y)*[(x+y)/(x^2+y^2)]
=-1/(x-y)
=-1