已知x^6=2,求(3x^9)^2-(4x^4)^6的值

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已知x^6=2,求(3x^9)^2-(4x^4)^6的值
已知x^6=2,求(3x^9)^2-(4x^4)^6的值

已知x^6=2,求(3x^9)^2-(4x^4)^6的值
(3x^9)^2-(4x^4)^6
=9x^18-4^6x^24
=9*2^3-4^62^4
=72-65536
=-65464

已知x^6=2
那么(3x^9)^2-(4x^4)^6
=9x^18-4096x^24
=9*(x^6)³-4096*(x^6)⁴
=9*2³-4096*2⁴
=9*8-4096*16
=72-65536
=-65464

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(3x^9)^2-(4x^4)^6=9x^18-4^6x^24=9(x^6+x^6+x^6)-4^6(x^6+x^6+x^6x+x^6)=54-4^6(8)=32714