作业帮(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)=
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/27 10:40:35
(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)
(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)
=(x-y)/2(x+y)-(x²+y²)/(x+y)(x-y)
=(x-y)²/2(x+y)(x-y)-2(x²+y²)/2(x+y)(x-y)
=[(x-y)²-2(x²+y²)]/2(x+y)(x-y)
=...
全部展开
(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)
=(x-y)/2(x+y)-(x²+y²)/(x+y)(x-y)
=(x-y)²/2(x+y)(x-y)-2(x²+y²)/2(x+y)(x-y)
=[(x-y)²-2(x²+y²)]/2(x+y)(x-y)
=(x²-2xy+y²-2x²-2y²)/2(x+y)(x-y)
=-(x²+2xy+y²)/2(x+y)(x-y)
=-(x+y)²/2(x+y)(x-y)
=-(x+y)/2(x-y)
很高兴为您解答，祝你学习进步！【the1900】团队为您答题。
有不明白的可以追问！如果您认可我的回答。
请点击下面的【选为满意回答】按钮，谢谢！
收起
(2x+2y)分之(x-y)-(x的平方-y的平方)分之(x平方+y平方)=﹙x＋y﹚／[2×﹙y－x﹚]
