解方程1/1-y²=2/1+2y+y²-3/1-2y+y²是 解方程1/(1-y²)=2/(1+2y+y²)-3/(1-2y+y²)

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/14 20:26:51

解方程1/1-y²=2/1+2y+y²-3/1-2y+y²是 解方程1/(1-y²)=2/(1+2y+y²)-3/(1-2y+y²)
解方程1/1-y²=2/1+2y+y²-3/1-2y+y²
是 解方程1/(1-y²)=2/(1+2y+y²)-3/(1-2y+y²)

解方程1/1-y²=2/1+2y+y²-3/1-2y+y²是 解方程1/(1-y²)=2/(1+2y+y²)-3/(1-2y+y²)
1/(1+y)(1-y) = 2/(1+y)^2 - 3/(1-y)^2
(1+y)(1-y)/(1+y)^2(1-y)^2 = 2(1-y)^2/(1-y)^2 - 3(1+y)^2/(1+y)^2(1-y)^2
去分母,得 1-y^2 = 2-4y+2y^2-3-6y-3y^2
解得 y = -1/5