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

$$\mathrm{If}abc=8\mathrm{and}\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{3}{2}\mathrm{then}$$$$\mathrm{find}\mathrm{the}\mathrm{value}\mathrm{of}ab+bc+ca.$$

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

$$\Rightarrow abc(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=\frac{3}{2}abc\Rightarrow$$$$bc+ac+ab=\frac{3}{2}.8\Rightarrow ab+bc+ca=12.$$

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