(x+2y)^2(x-2y)^2-(2x+y)^2(2x-y)^2具体的算法

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 21:51:18

(x+2y)^2(x-2y)^2-(2x+y)^2(2x-y)^2具体的算法
(x+2y)^2(x-2y)^2-(2x+y)^2(2x-y)^2
具体的算法

(x+2y)^2(x-2y)^2-(2x+y)^2(2x-y)^2具体的算法
(x+2y)(x-2y)-(2x+y)(2x-y) =[(x+2y)(x-2y)]-[(2x+y)(2x-y)] =(x-4y)-(4x-y) =(x-4y+4x-y)(x-4y-4x+y) =(5x-5y)(-3x-3y) =-15(x-y)(x+y) =-15x^4+15y^4