If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?\eqalign{ & {\text{If }}abc{\text{ = 1,}} \cr & {\text{then }}\left( {\frac{1}{{1 + a + {b^{ - 1}}}} + \frac{1}{{1 + b + {c^{ - 1}}}} + \frac{1}{{1 + c + {a^{ - 1}}}}} \right) = ? \cr} " /> If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?\eqalign{ & {\text{If }}abc{\text{ = 1,}} \cr & {\text{then }}\left( {\frac{1}{{1 + a + {b^{ - 1}}}} + \frac{1}{{1 + b + {c^{ - 1}}}} + \frac{1}{{1 + c + {a^{ - 1}}}}} \right) = ? \cr} " /> If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?\eqalign{ & {\text{If }}abc{\text{ = 1,}} \cr & {\text{then }}\left( {\frac{1}{{1 + a + {b^{ - 1}}}} + \frac{1}{{1 + b + {c^{ - 1}}}} + \frac{1}{{1 + c + {a^{ - 1}}}}} \right) = ? \cr} " />

If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?
  • 10
  • 21
  • 31/ab
  • 4ab
Answer:- 1
Explanation:-

Solution:
Given expression,11+a+b−1+11+b+c−1+11+c+a−1=11+a+b−1+1b−1+1+b−1c−1+1a+ac+1=11+a+b−1+b−11+b−1+a+aa+b−1+1=1+a+b−11+a+b−1=1[∵abc=1⇒(bc)−1=a⇒b−1c−1=a,and ac=b−1]

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", "text": "
If abc = 1,then (11+a+b−1+11+b+c−1+11+c+a−1)=?
", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "
Solution:
Given expression,11+a+b−1+11+b+c−1+11+c+a−1=11+a+b−1+1b−1+1+b−1c−1+1a+ac+1=11+a+b−1+b−11+b−1+a+aa+b−1+1=1+a+b−11+a+b−1=1[∵abc=1⇒(bc)−1=a⇒b−1c−1=a,and ac=b−1]
", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "
Solution:
Given expression,11+a+b−1+11+b+c−1+11+c+a−1=11+a+b−1+1b−1+1+b−1c−1+1a+ac+1=11+a+b−1+b−11+b−1+a+aa+b−1+1=1+a+b−11+a+b−1=1[∵abc=1⇒(bc)−1=a⇒b−1c−1=a,and ac=b−1]
", "dateCreated": "7/24/2019 10:09:12 AM" } }
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