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If a+b+c+d=4 then find out 1/(1-a)(1-b)( 1-c)+1/(1-b) (1-c) (1-d)+1/(1-c) (1-d) (1-a)+1/(1-d)( 1-b) (1-a) =?

If a+b+c+d=4 then find out 1/(1-a)(1-b)( 1-c)+1/(1-b) (1-c) (1-d)+1/(1-c) (1-d) (1-a)+1/(1-d)( 1-b) (1-a) =?

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
Dear Sandeep
 
Try to make denominator equal hence
 
1- d +1 - a +1 - b +1 -c/[(1- a)(1 -b)(1 - c)(1 -d)]
 
= 4 - (a+b+c+d)/[(1-a)(1-b)(1-c)(1-d)]
 
 = 4 -4 /[(1-a)(1-b)(1-c)(1-d)]
 
= 0
 
Regards
Arun (askIITians forum expert)

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