把(x+y)的平方-(x-y)的平方因式分解

Question

详细步骤

Answer 1

(x+y)²-(x-y)²
=[(x+y)+(x-y)][(x+y)-(x-y)]
=(x+y+x-y)(x+y-x+y)
=2x*2y
=4xy

希望采纳追问

做错啦分解因式

追答

分解因式的结果就是4xy

追问

(x+y)(x-y)不是(x+y)的平方，你做得是化简

追答

(x+y)(x-y)=x²-y²
我就是用平方差公式x²-y²=(x+y)(x-y)分解因式的呀
然后合并同类项就是4xy，分解因式也要合并同类项。

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Answer 2

追问

(x+y)(x-y)不等于(x+y)的平方

Answer 3

(x+y)^2-(x-y)^2
=[(x+y)+(x-y)].[(x+y)-(x-y)]
=4xy

Answer 4

（x+y+x-y)(x+y-x+y)=4xy