(x-y+(4xy/x-y))(x+y-(4xy/x+y)) 分式计算

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 04:57:50
(x-y+(4xy/x-y))(x+y-(4xy/x+y)) 分式计算

(x-y+(4xy/x-y))(x+y-(4xy/x+y)) 分式计算
(x-y+(4xy/x-y))(x+y-(4xy/x+y)) 分式计算

(x-y+(4xy/x-y))(x+y-(4xy/x+y)) 分式计算
(x-y+(4xy/x-y))(x+y-(4xy/x+y))
=【(x-y)^2+4xy】/(x-y)*【(x+y)^2-4xy】/(x+y)
=【(x+y)^2/(x-y)】【(x-y)^2】/(x+y) 】
=(x+y)(x-y)
=x^2-y^2.

先通分,第一个括号=(x2-2xy+y2+4xy)/(x-y)
第二个括号=(x2+2xy+y2-4xy)/(x+y)
合并同类项之后=[(x2+2xy+y2)/(x-y)][(x2-2xy+y2)/(x+y)]=[(x+y)2/(x-y)][(x-y)2/(x+y)]
然后约分 =(x+y)(x-y)=x2-y2.

运用A方减b方的公式去套,
得出 (x-y)平方-((4xy平方/x平方-y平方))