分式计算,((x+1)²(1-x)²)/((x²-1)²)÷((x-1)²)/(x²-1)

问题描述:

分式计算,((x+1)&sup2(1-x)&sup2)/((x&sup2-1)&sup2)÷((x-1)&sup2)/(x&sup2-1)

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

原式=[(x+1)²(x-1)²/(x+1)²(x-1)²][(x²-1)/(x-1)²]
=1*(x+1)(x-1)/(x-1)²
=(x+1)/(x-1)

((x+1)²(1-x)²)/((x²-1)²)÷((x-1)²)/(x²-1)=((x+1)²(1-x)²)(x²-1)/((x²-1)²)((x-1)²)=((x+1)²)/((x...