作业帮 > 数学 > 作业

(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)=

来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/04/28 16:08:48
(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)=
(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)=
(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)
=(2x+2y)分之(x-y)-[(x+y)(x-y)]分之(x²+y²)
=[2(x+y)(x-y)]分之(x-y)²-[2(x+y)(x-y)]分之[2(x²+y²)]
=[2(x+y)(x-y)]分之[(x²-2xy+y²)-(2x²+2y²)]
=[2(x+y)(x-y)]分之[-(x²+2xy+y²)]
=[2(x+y)(x-y)]分之[-(x+y)²]
=-[2(x-y)]分之(x+y)