Question

(x+y)^2（x-y)^3-(-x-y)^3（y-x)^2

这道题怎么做啊？好的追加悬赏 哈哈 急啊

Answer 1

(x+y)^2（x-y)^3-(-x-y)^3（y-x)^2
=(x+y)^2（x-y)^3+(x+y)^3（y-x)^2
=(x+y)^2（x-y)^3+(x+y)^3（x-y)^2 ①
接着提取公因式(x+y)^2和（x-y)^2
①式就=(x+y)^2（x-y)^2（x-y+x+y）=2x(x+y)^2（x-y)^2 =2x(x²-y²)²

Answer 2

你好！
(x+y)^2(x-y)^3-(-x-y)^3(y-x)^2
=(x+y)^2(x-y)^3+(x+y)^3(x-y)^2
=(x+y)^2(x-y)^2[(x-y)+(x+y)]
=(x+y)^2(x-y)^2(2x)
=2x(x+y)^2(x-y)^2

祝你学习进步O(∩_∩)O哈！

追问

(x+y)^2(x-y)^3-(-x-y)^3(y-x)^2怎么到=(x+y)^2(x-y)^3+(x+y)^3(x-y)^2的
谢谢 你两次帮我回答了问题 麻烦你再帮我回答一下我的追问

Answer 3

(x+y)^2（x-y)^3-(-x-y)^3（y-x)^2
=(x+y)^2(x-y)^3-(-1)^3(-1)^2(x+y)^3(x-y)^2
=(x+y)^2(x-y)^3+(x+y)^3(x-y)^2
=(x+y)^2(x-y)^2[(x-y)+(x+y)]
=2x(x+y)²(x-y)²

Answer 4

解：﹙x＋y﹚²﹙x－y﹚³－﹙﹣x－y﹚³﹙y－x﹚²
＝﹙x＋y﹚²﹙x－y﹚³＋﹙x－y﹚²﹙x＋y﹚³
＝﹙x＋y﹚²﹙x－y﹚²﹙x－y＋x＋y﹚
＝2x﹙x＋y﹚²﹙x－y﹚².

Answer 5

这个太简单了，不告诉你了