![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{a+b-c}{c}=\frac{b+c-a}{a}=\frac{c+a-b}{b}=\frac{a+b-c+b+c-a+c+a-b}{a+b+c}=2\)
\(\Rightarrow a+b-c=2c\Rightarrow a+b=3c\)
\(b+c-a=2a\Rightarrow b+c=3a\)
\(c+a-b=2b\Rightarrow c+a=3b\)
Ta có: \(B=\left(1+\frac{b}{a}\right)\left(1+\frac{a}{c}\right)\left(a+\frac{c}{b}\right)\)
\(=\frac{a+b}{a}.\frac{c+a}{c}.\frac{b+c}{b}\)
\(=\frac{3c}{a}.\frac{3b}{c}.\frac{3a}{b}\)
\(=27\)
![](https://rs.olm.vn/images/avt/0.png?1311)
kho vai minh hoc qua lop 7 roi nhung chua tung gap cau nao kho the nay
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có :
a+b−cc=b+c−aa=c+a−bb=a+b−c+b+c−a+c+a−bc+a+b=a+b+ca+b+c=1a+b−cc=b+c−aa=c+a−bb=a+b−c+b+c−a+c+a−bc+a+b=a+b+ca+b+c=1
→a+bc−1=b+ca−1=c+ab−1=1→a+bc−1=b+ca−1=c+ab−1=1
→a+bc=b+ca=c+ab=2→a+bc=b+ca=c+ab=2
→a+bc.b+ca.c+ab=2.2.2=8→a+bc.b+ca.c+ab=2.2.2=8
→a+ba.b+cb.c+ac=8→a+ba.b+cb.c+ac=8
→(1+ba)(1+cb)(1+ac)=8→(1+ba)(1+cb)(1+ac)=8
→M=8
Bạn nhớ là cái này ko phải mình lm đc đây làm mình tìm đc thui nhá =<
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a+b+c=0\Rightarrow a+b=-c;a+c=-b;b+c=-a\)
\(\Rightarrow A=\left(1+\frac{a}{b}\right)\left(1+\frac{b}{c}\right)\left(1+\frac{c}{a}\right)=\left(\frac{b+a}{b}\right)\left(\frac{c+b}{c}\right)\left(\frac{a+c}{a}\right)\)
\(=-\frac{c}{b}\cdot-\frac{a}{c}\cdot-\frac{b}{a}=\frac{-c\cdot-a\cdot-b}{b\cdot c\cdot a}=-1\cdot-1\cdot-1=-1\)