计算(x+2y)(x-2y)(x^4-8x^2y^2+16y^4)

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计算(x+2y)(x-2y)(x^4-8x^2y^2+16y^4)
计算(x+2y)(x-2y)(x^4-8x^2y^2+16y^4)

计算(x+2y)(x-2y)(x^4-8x^2y^2+16y^4)
原式=(x²-4y²)(x²-4y²)²
=(x²-4y²)³
=x^6-12x^4y²+48x²y^4-64y^6

(x+2y)(x-2y)(x^4+8x^2y^2+16y^4)
=(x²-4y²)(x^4+8x^2y^2+16y^4)
=x^6-64y^6

原式=(x²-4y²)(x²-4y²)²
=(x²-4y²)³

=(x+2y)(x-2y)(x^2-4y^2)^2
=(x+2y)(x-2y)【(x+2y)(x-2y)】^2
=(x+2y)(x-2y)(x+2y)^2(x-2y)^2
=(x+2y)^3(x-2y)^3

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