因式分解:(81^4-1)/(3x-1)

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因式分解:(81^4-1)/(3x-1)
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因式分解:(81^4-1)/(3x-1)
因式分解:(81^4-1)/(3x-1)

因式分解:(81^4-1)/(3x-1)
81x^4-1 =(9x^2)^2-1 =(9x^2+1)(9x^2-1) =(9x^2+1)(3x+1)(3x-1) 故:(81x^4-1)/(3x-1) =(9x^2+1)(3x+1)