Flag 8 grade maths> If a,b,c are positive real numbers such t...
question mark

If a,b,c are positive real numbers such that a+b-c/c =a-b+c/b =-a+b+c/a find the value of (a+b)(b+c)(c+a)/ABC

Syed shoukat , 4 Years ago
Grade 8
anser 3 Answers
Arun

Last Activity: 4 Years ago

Assuming that (a+b+c) is not equal to zero.
Given that,
a+b-c/c=a-b+c/b=-a+b+c/a= **sum of numerators/sum of denominators=1**(A property of ratios)
Therefore,
a+b=2c
a+c=2b
b+c=2a
Therefore,
(a+b)(b+c)(c+a)/abc=2c.2a.2b/abc=8
 

Vikas TU

Last Activity: 4 Years ago

Dear student 
Please follw the link below 
Good Luck 

Yashraj

Last Activity: 4 Years ago

we have solved in one place also so go to 
 

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...