把下列各式分解因式:x^4-81 (x^2-2y)^2-(1-2y)^2

分类: 作业答案 • 2022-04-05 10:20:25

问题描述：

答

x^4-81
=(x^2+9)(x^2-9)
=(x^2+9)(x+3)(x-3)
(x^2-2y)^2-(1-2y)^2
=(x^2-2y+1-2y)(x^2-2y-1+2y)
=(x^2-4y+1)(x^2-1)
=(x^2-4y+1)(x+1)(x-1)