分母变形,(1-u²)(1+u)=(1-u)(1+u)(1+u)=(1-u)(1+u)²然后拆项,化为两个分式之和(或差)
这是拆项。把后边的式子通分验证即可理解[(1/(1-u^2)+1/(1+u)^2]=[(1+u)^2+(1-u^2)]/[(1-u^2)(1+u)^2]=2(1+u)/[(1-u^2)(1+u)^2]=2[1/(1-u^2)((1+u)]所以,1/(1-u^2)(1+u)=1/2[/(1-u^2)+1/(1+u)^2]