...请问化简结果是多少？谢谢heyinbu但是希望可以有解...

精选知识

结果为x平方－y平方

式子第一个括号内：通分得到（x^2+y^2+2xy）/(x-y)

=(x+y)^2/(x-y)

第二个括号：类似可得(x-y)^2/(x+y)

两个括号相乘,就得到我的结果

其他类似问题

问题1：化简[x-y+4xy/(x-y)][x+y-4xy/(x-y)][数学科目]

原式={x-[y-4xy/(x-y)]}{x+[y-4xy(x-y)]}

=x2-[y-4xy(x-y)]

=x2-y+4xy(x-y)

=x2-y+4x2y-4xy2

问题2：化简（x-y)的平方+4xy,[数学科目]

(x-y)²+4xy=x²-2xy+y²+4xy=x²+2xy+y²=(x+y)²

问题3：计算(x-y+4xyx-y)(x+y-4xyx+y)的正确结果是（　　）A. y2-x2B. x2-y2C. (x-y)2x2-y2（x≠y）D. x2-y2x2+y2\；[数学科目]

(x-y+4xyx-y)(x+y-4xyx+y)

=

(x-y)

2

+4xyx-y?

(x+y)

2

-4xyx+y

=

(x+y)

2

x-y?

(x-y)

2

x+y

=（x+y）（x-y）=x²-y²，故选B．

问题4：化简(x^2+xy+y^2)^2-4xy(x^2+y^2),答案是(x^2-xy+y^2)^2,求具体步骤[数学科目]

(x^2+xy+y^2)^2-4xy(x^2+y^2)

=(x^2+y^2)^2+2xy(x^2+y^2)+x^2y^2-4xy(x^2+y^2)

=(x^2+y^2)^2-2xy(x^2+y^2)+x^2y^2

=(x^2+y^2-xy)^2

问题5：计算(x-y+4xyx-y)(x+y-4xyx+y)的正确结果是（　　）A. y2-x2B. x2-y2C. (x-y)2x2-y2（x≠y）D. x2-y2x2+y2\；[数学科目]

(x-y+4xyx-y)(x+y-4xyx+y)

=

(x-y)

2

+4xyx-y?

(x+y)

2

-4xyx+y

=

(x+y)

2

x-y?

(x-y)

2

x+y

=（x+y）（x-y）=x²-y²，故选B．