化简(x눀+xy+y눀)(x눀-xy+y눀)=? 有过程

2025-05-12 06:16:40
推荐回答(5个)
回答1:

(x²+xy+y²)(x²-xy+y²)=[(x²+y²)+xy][(x²+y²)-xy]
=(x²+y²)²-(xy)²
=x^4+2x²y²+y^4-x²y²
=x^4+x²y²+y^4

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回答2:

(x²+xy+y²)(x²-xy+y²)=[(x²+y²)+xy][(x²+y²)-xy]
=(x²+y²)²-(xy)²
=x^4+2x²y²+y^4-x²y²
=x^4+x²y²+y^4

回答3:

(x²+xy+y²)(x²-xy+y²)
=(x²+y²)²-(xy)²
=x四次方+y四次方+(xy)²

回答4:

x^2*x^2-x^2*xy+x^2y^2+xy*x^2-xy*xy+xy*y^2+y^2*x^2-y^2*xy+y^2*y^2
=x^4-x^3y+x^2y^2+x^3y-x^2y^2+xy^3+x^2y^2-xy^3+y^4
=x^4+x^2y^2+y^4

回答5:

先将它分成这样,{(x²+y²)-xy}{(x²+y²)+xy},然后将其平方差公式化出来,然后再讲平方化出来,之后合并一下同类项就好了。

不能全写过程,电脑上不太好写,只能口头说说了,抱歉啊。

谢谢。