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[1,1],[1+b,1]=(abc)(1+(1)/(a)+(1)/(b)+(1...

[1,1],[1+b,1]=(abc)(1+(1)/(a)+(1)/(b)+(1)/(c))quad [UP2004,06,19]

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det[[ Show that ,11+a,1+b,11,1+b,11,1,1+c]]=abc(1+(1)/(a)+(1)/(b)+(1)/(c))

Prove that |(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1+(1)/(a)+(1)/(b)+(1)/(c)).

Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(b)+(1)/(c))

Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(b)+(1)/(c))

Show that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+(1)/(a)+(1)/(b)+(1)/(c)),(abcne0) .

Prove that ,11+a,1+b,11,1,1+c]|=(abc)((1)/(a)+(1)/(b)+(1)/(c)+1)=(bc+ca+ab+abc)

Show that {:[( 1+a,1,1),( 1,1+b,1) ,( 1,1,1+c) ]:}= abc ( 1+(1)/(a) +(1)/(b) +(1)/(c) ) = abc +bc +ca +ab

Show that {:[( 1+a,1,1),( 1,1+b,1) ,( 1,1,1+c) ]:}= abc ( 1+(1)/(a) +(1)/(b) +(1)/(c) ) = abc +bc +ca +ab