计算x^3-1/x^2+x+1 + x^3+1/x^2-x+1 + 2x^2/1-x是三项./是分数线.

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/24 12:03:42
计算x^3-1/x^2+x+1+x^3+1/x^2-x+1+2x^2/1-x是三项./是分数线.计算x^3-1/x^2+x+1+x^3+1/x^2-x+1+2x^2/1-x是三项./是分数线.计算x^

计算x^3-1/x^2+x+1 + x^3+1/x^2-x+1 + 2x^2/1-x是三项./是分数线.
计算x^3-1/x^2+x+1 + x^3+1/x^2-x+1 + 2x^2/1-x
是三项./是分数线.

计算x^3-1/x^2+x+1 + x^3+1/x^2-x+1 + 2x^2/1-x是三项./是分数线.
x^3-1/x^2+x+1 + x^3+1/x^2-x+1 + 2x^2/1-x
=(x-1)(x^2+x+1)/(x^2+x+1)+(x+1)(x^2-x+1)/(x^2-x+1)+2x^2/(1-x)
=x-1+x+1+2x^2/(1-x)
=2x+2x^2/(1-x)
=[2x-2x^2+2x^2)/(1-x)
=2x/(1-x)