1/(x+2)(x+1)(1-x)怎么分解成和的形式
问题描述:
1/(x+2)(x+1)(1-x)怎么分解成和的形式
我知道带入abc求解,请给个具体过程,
答
1/(x+2)(x+1)(1-x)=1/(x+2) * 1/(x+1)(1-x)=1/(x+2) * 1/2[1/(x+1) + 1/(1-x)]=1/2 * [1/(x+2)(x+1) + 1/(x+2)(1-x)]=1/2 * [1/(x+1)-1/(x+2) + 1/3*( 1/(x+2)+1/(1-x) )]=1/2 * [1/(x+1)-2/3(x+2) + 1/3(1-x) )]=1/...