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If ab+bc +ca=1 then prove that a+b/1-ab =1/c

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Algebra 1 Answers
If ab+bc +ca=1 then prove that a+b/1-ab =1/c

If ab+bc +ca=1 then prove that a+b/1-ab =1/c

evaluate the expression

asked Sep 5, 2012 in Algebra 1 Answers by anonymous

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1 Answer

ab + bc + ca = 1

ab + c(b + a) = 1

c(a + b) = 1 - ab

c = (1 - ab)/(a + b)

1/c = (a + b)/(1 - ab)

answered Nov 28, 2013 by Fermat Level 11 User (81.5k points)

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