Question

if a,b,c are in gp prove that..
((a+b+c)^2) / a2+b2+c2 = (a+b+c)/a-b+c​

Answer 1

Answer:

Step-by-step explanation:

Taking LHS

(a  2  +b  2  +c  2  )(b  2  +c  2 +d  2  )

putting values b=ar,c=ar  

2  ,d=ar  3

(a  

2

+(ar)  

2

+(ar  

2

)  

2

)((ar)  

2

+(ar  

2

)  

2

+(ar  

3

)  

2

)

=a  

2

(1+r  

2

+r  

4

)a  

2

(r  

2

+r  

4

+r  

6

)

=a  

4

r  

2

(1+r  

2

+r  

4

)  

2

 

RHS=(ab+bc+cd)  

2

 

=(a×ar+ar×ar  

2

+ar  

2

×ar  

3

)  

2

 

=(a  

2

r+a  

2

r  

3

+a  

2

r  

5

)  

2

 

=ar  

2

(1+r  

2

+r  

4

)  

2

 

=LHS.

Mark as the brainly est answer

Hope you understand

Answer 2

Step-by-step explanation:

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