若n为正整数,且x^2n=3,求(x^3n)^4-(x^2)^2n.

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若n为正整数,且x^2n=3,求(x^3n)^4-(x^2)^2n.

若n为正整数,且x^2n=3,求(x^3n)^4-(x^2)^2n.
若n为正整数,且x^2n=3,求(x^3n)^4-(x^2)^2n.

若n为正整数,且x^2n=3,求(x^3n)^4-(x^2)^2n.
(x^3n)^4-(x^2)^2n
=(x^2n)^6-(x^2n)^2
=3^6-3^2
=3^2*(3^4-1)
=9*80
=720

(x^3n)^4-(x^2)^2n
=x^12n-x^4n
=x^4n(x^8n-1)
=(x^2n)^2[(x^2n)^4-1]
=3^2[3^4-1]
=9*80
=720