因式分解:(81^4-1)/(3x-1)

分类: 作业答案 • 2022-01-29 16:28:56

问题描述：

答

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)