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) .
By taking LCM,
=4-[a+b+c+d] / [1-a][1-b][1-c][1-d]
=4-4 / [1-a][1-b][1-c][1-d]
=0
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) .
By taking LCM,
=4-[a+b+c+d] / [1-a][1-b][1-c][1-d]
=4-4 / [1-a][1-b][1-c][1-d]
=0
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