(x^2+2y^2-xy)(x^2-2y^2+xy)
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(x^2+2y^2-xy)(x^2-2y^2+xy)
=[x^2+(2y^2-xy)][x^2-(2y^2-xy)]
=x^4-(2y^2-xy)^2
=x^4-(4y^4-4xy^3+x^2y^2)
=x^4-4y^4-4xy^3+x^2y^2
=[x^2+(2y^2-xy)][x^2-(2y^2-xy)]
=x^4-(2y^2-xy)^2
=x^4-(4y^4-4xy^3+x^2y^2)
=x^4-4y^4-4xy^3+x^2y^2
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展开全部
(x^2+2y^2-xy)(x^2-2y^2+xy)
=[x^2+(2y^2-xy)][x^2-(2y^2-xy)]
=x^4-(2y^2-xy)^2
=x^4-4y^4+4xy^3-x^2y^2
=[x^2+(2y^2-xy)][x^2-(2y^2-xy)]
=x^4-(2y^2-xy)^2
=x^4-4y^4+4xy^3-x^2y^2
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