4x方y/(x-2y)(x+2y)怎么算[x方/x-2y]-4x方y/(x-2y)(x+2y)=?

分类: 作业答案 • 2022-04-21 19:24:30

问题描述：

4x方y/(x-2y)(x+2y)怎么算
[x方/x-2y]-4x方y/(x-2y)(x+2y)=?

答

通分
原式=x²(x+2y)/(x-2y)(x+2y)-4x²y/(x-2y)(x+2y)
=(x³+2x²y-4x²y)/(x-2y)(x+2y)
=(x³-2x²y)/(x-2y)(x+2y)
=x²(x-2y)/(x-2y)(x+2y)
=x²/(x+2y)

答

x^2/(x-2y) -4x^2y/(x-2y)(x+2y)
=[x^2(x+2y)-4x^2y]/(x-2y)(x+2y)
=x^2(x+2y-4y)/(x-2y)(x+2y)
=x^2(x-2y)/(x-2y)(x+2y)
=x^2/(x+2y)