Math, asked by Soumaji4407D, 10 months ago


if \: pqr = 1 \: then \: prove \\  \frac{1}{1 + p +  {q}^{ - 1} }  +  \frac{1}{1 + q +  {r}^{ - 1} }  +  \frac{1}{1 + r +  {p}^{ - 1} }  = 1
please give answer and please please please show the process how to get answer of it
please give the correct answer

Answers

Answered by loga6506
0

Step-by-step explanation:

Continued…

p+q = 2r ——-proved

(p+q)/2 = r

Substituting the value of r in pq-r(p+q)

pq-(p+q)/2 *(p+q)

Pq - [(p+q)^2 ] /2

[2pq-(p+q)^2)]/2

[2pq-(p^2+2pq+q^2) ]/ 2

[2pq - p^2–2pq- q^2 ]/ 2

(-p^2- q^2)/ 2

-1(p^2+q^2)/2

-1(p^2+q^2)/ 2 ———proved.

Answered by Anonymous
16

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