If (a+b+c+d) = 4, then:
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-a)(1-b)=???
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Answer:
0
Step-by-step explanation:
=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-a)(1-b)
=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
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