计算[2x/(x-1)-3x/(x+1)÷x/x^2-1 分解因式：x^3y-xy^3 x^2-16x+64计算[2x/(x-1)-3x/(x+1)]÷x/x^2-1分解因式：x^3y-xy^3 x^2-16x+64

题目详情

计算[2x/(x-1)-3x/(x+1)÷x/x^2-1 分解因式：x^3y-xy^3 x^2-16x+64
计算[2x/(x-1)-3x/(x+1)]÷x/x^2-1
分解因式：x^3y-xy^3
x^2-16x+64

▼优质解答

答案和解析

[2x/(x-1)-3x/(x+1)]÷x/(x^2-1)=x[2(x+1)-3(x-1)](x²-1)/[x(x²-1)]=2x+2-3x+3=5-3x

x^3y-xy^3 =xy(x²-y²)=xy(x+y)(x-y)

x²-16x+64=x²-2*8x+8²=(x-8)²

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