x+2y分之x-y/x² + 4xy+4y²分之x²-y²
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/26 04:46:20
![x+2y分之x-y/x² + 4xy+4y²分之x²-y²](/uploads/image/z/3739777-25-7.jpg?t=x%2B2y%E5%88%86%E4%B9%8Bx-y%2Fx%26%23178%3B+%2B+4xy%2B4y%26%23178%3B%E5%88%86%E4%B9%8Bx%26%23178%3B-y%26%23178%3B)
x+2y分之x-y/x² + 4xy+4y²分之x²-y²
x+2y分之x-y/x² + 4xy+4y²分之x²-y²
x+2y分之x-y/x² + 4xy+4y²分之x²-y²
原式=[(x-y)/(x+2y)]÷[(x²-y²)/(x²+4xy+4y²)]
=[(x-y)/(x+2y)]÷[(x+y(x-y)/(x+2y)²]
=[(x-y)/(x+2y)]×[(x+2y)²/(x+y)(x-y)]
=(x+2y)/(x+y)