通分:1、x²-y²分之1与x²+xy分之1;2、m²-9分之1与3+m分之1;3、x²-y²分之1与x+y分之1;4、分式1-b²分之3,(1+b)²分之2b,(b-1)²分之2-4b的最简公分母是:()
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 11:07:27
![通分:1、x²-y²分之1与x²+xy分之1;2、m²-9分之1与3+m分之1;3、x²-y²分之1与x+y分之1;4、分式1-b²分之3,(1+b)²分之2b,(b-1)²分之2-4b的最简公分母是:()](/uploads/image/z/2668878-54-8.jpg?t=%E9%80%9A%E5%88%86%EF%BC%9A1%E3%80%81x%26%23178%3B-y%26%23178%3B%E5%88%86%E4%B9%8B1%E4%B8%8Ex%26%23178%3B%2Bxy%E5%88%86%E4%B9%8B1%EF%BC%9B2%E3%80%81m%26%23178%3B-9%E5%88%86%E4%B9%8B1%E4%B8%8E3%2Bm%E5%88%86%E4%B9%8B1%EF%BC%9B3%E3%80%81x%26%23178%3B-y%26%23178%3B%E5%88%86%E4%B9%8B1%E4%B8%8Ex%2By%E5%88%86%E4%B9%8B1%EF%BC%9B4%E3%80%81%E5%88%86%E5%BC%8F1-b%26%23178%3B%E5%88%86%E4%B9%8B3%2C%EF%BC%881%2Bb%EF%BC%89%26%23178%3B%E5%88%86%E4%B9%8B2b%2C%EF%BC%88b-1%EF%BC%89%26%23178%3B%E5%88%86%E4%B9%8B2-4b%E7%9A%84%E6%9C%80%E7%AE%80%E5%85%AC%E5%88%86%E6%AF%8D%E6%98%AF%EF%BC%9A%EF%BC%88%EF%BC%89)
通分:1、x²-y²分之1与x²+xy分之1;2、m²-9分之1与3+m分之1;3、x²-y²分之1与x+y分之1;4、分式1-b²分之3,(1+b)²分之2b,(b-1)²分之2-4b的最简公分母是:()
通分:1、x²-y²分之1与x²+xy分之1;2、m²-9分之1与3+m分之1;
3、x²-y²分之1与x+y分之1;4、分式1-b²分之3,(1+b)²分之2b,(b-1)²分之2-4b的最简公分母是:()
通分:1、x²-y²分之1与x²+xy分之1;2、m²-9分之1与3+m分之1;3、x²-y²分之1与x+y分之1;4、分式1-b²分之3,(1+b)²分之2b,(b-1)²分之2-4b的最简公分母是:()
解
最简公分母为x(x-y)(x+y)
∴
1/(x²-y²)=x/x(x²-y²)=x/x(x-y)(x+y)
1/(x²+xy)=(x-y)/x(x+y)(x-y)
最简公分母为:(m-3)(m+3)
1/(m²-9)=1/(m-3)(m+3)
1/(3+m)=(m-3)/(m+3)(m-3)
最简公分母为:(x+y)(x-y)
1/(x²-y²)=1/(x-y)(x+y)
1/(x+y)=(x-y)/(x+y)(x-y)
第一个是(1-b)(1+b)
第二个是(1+b)²
第三个是(b-1)²=(1-b)²
∴最简公分母为(1-b)²(1+b)²