If-abc-8-and-1-a-1-b-1-c-3-2-then-find-the-value-of-ab-bc-ca-

Question Number 40321 by faaiz last updated on 19/Jul/18

If a b c = 8 and \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = \frac{3}{2} then

find the value of a b + b c + c a .

Commented by math khazana by abdo last updated on 19/Jul/18

\Rightarrow a b c (\frac{1}{a} + \frac{1}{b} + \frac{1}{c}) = \frac{3}{2} a b c \Rightarrow

b c + a c + a b = \frac{3}{2} . 8 \Rightarrow a b + b c + c a = 12 .