作业帮 > 数学 > 作业

已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/23 18:18:13
已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y
已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y 就是已知2x-y=10,求[(x²+y²)-(x-y)²+2y(x-y)]/4y /4y就是除以4y
先化简[(x²+y²)-(x-y)²+2y(x-y)]/4y
[(x²+y²)-(x-y)²+2y(x-y)]/4y
=[x²+y²-(x²+y²-2xy)+2xy-2y²]/4y
=[x²+y²-x²-y²+2xy+2xy-2y²]/4y
=[4xy-2y²]/4y
=[4x-2y]/4
=2*(2x-y)/4
=2*10/4
=5