(x05+xy+y05)(x05-xy+y05)怎么简便运算

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(x05+xy+y05)(x05-xy+y05)怎么简便运算

(x05+xy+y05)(x05-xy+y05)怎么简便运算
(x05+xy+y05)(x05-xy+y05)怎么简便运算

(x05+xy+y05)(x05-xy+y05)怎么简便运算
(x05+xy+y05)(x05-xy+y05)
=(x^2+y^2+xy)(x^2+y^2-xy)
=(x^2+y^2)^2 -(xy)^2
=x^4+2x^2y^2+y^4 -x^2y^2
=x^4+x^2y^2+y^4