(x-2y)^2(x^2+4y^2)^2(x+2y)^2计算

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(x-2y)^2(x^2+4y^2)^2(x+2y)^2计算
(x-2y)^2(x^2+4y^2)^2(x+2y)^2计算

(x-2y)^2(x^2+4y^2)^2(x+2y)^2计算
(x-2y)^2(x^2+4y^2)^2(x+2y)^2
=(x^2-4y^2)^2(x^2+4y^2)^2
=x^4-16y^4

(x-2y)^2(x^2+4y^2)^2(x+2y)^2
=[(x-2y)^2(x+2y)^2](x^2+4y^2)^2
=(x^2-4y^2)^2(x^2+4y^2)^2
=(x^4-16y^4)^2
=x^8-32x^4y^4+256y^8

原式=(x-2y)^2(x+2y)^2(x^2+4y^2)^2=(x^2-4y^2)^2(x^2+4y^2)^2=(x^4-16y^4)^2
=x^8+256y^8-32x^4y^4