Proof Prove the property.1 + a1111 + b1111 + c = abc(1 +1a+1b +1c),a 0, b 0, c 0

Chapter 3, Problem 44

(choose chapter or problem)

Prove the property.

\(\left|\begin{array}{rrr}

1+a & 1 & 1 \\

1 & 1+b & 1 \\

1 & 1 & 1+c

\end{array}\right|=a b c\left(1+\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right)\)

Text Transcription:

|1+a  1  1

1  1+b  1

1  1  1+c|  = abc(1+1/a+1/b+1/c)

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