9x⁴-2x²y²+y⁴)÷(x+y)²÷(x-y)=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/09 05:15:13
9x⁴-2x²y²+y⁴)÷(x+y)²÷(x-y)=?9x⁴-2x²y²+y⁴)÷(x+y)

9x⁴-2x²y²+y⁴)÷(x+y)²÷(x-y)=?
9x⁴-2x²y²+y⁴)÷(x+y)²÷(x-y)=?

9x⁴-2x²y²+y⁴)÷(x+y)²÷(x-y)=?
(x^2-y^2)(x+y)-(x-y)^3
=(x-y)(x+y)(x+y)-(x-y)^3
=(x-y)(x+y)^2-(x-y)(x-y)^2
=(x-y)[(x+y)^2-(x-y)^2]
=(x-y)(x+y-x+y)(x+y+x-y)
=(x+y)2x2y
=4xy(x+y)