分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/12 18:51:56

分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)
分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)

分数指数幂化简(x^1/2-x^1/4+1)(x^1/2+x^1/4+1)(x-x^1/2+1)
=(x^1/2+1-x^1/4)(x^1/2+1+x^1/4)(x-x^1/2+1)
=[(x^1/2+1)^2-(x^1/4)^2](x-x^1/2+1)
=(x+1+x^1/2)(x-x^1/2+1)
=(x+1)^2-(x^1/2)^2
=x^2+x+1