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`...

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Q63 | If abc=1, prove that 1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1))=1 Q63 | If abc=1, prove that 1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1))=1
show that det(1+a 1 1 , 1 1+b 1 , 1 1 1+c)=abc(1+1/a+1/b+1/c)=abc+ab+bc+ca show that det(1+a 1 1 , 1 1+b 1 , 1 1 1+c)=abc(1+1/a+1/b+1/c)=abc+ab+bc+ca
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 | CLASS 12 | DETERMINAN... 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 | CLASS 12 | DETERMINAN...
Evaluate det ( 1 a bc ,1 b ca , 1 c ab ) || `|{:(1,a,bc),(1,b,ca),(1,c,ab):}|` || Evaluate det ( 1 a bc ,1 b ca , 1 c ab ) || `|{:(1,a,bc),(1,b,ca),(1,c,ab):}|` ||
If a b c=1, show that 1/1+a+b^-1+1/1+b+c^-1+1/1+c+a^-1=1 If a b c=1, show that 1/1+a+b^-1+1/1+b+c^-1+1/1+c+a^-1=1
If abc=1 then find the value of 1/a+b+c^-1 + 1/a+b^-1 + 1/1+c+a^-1. If abc=1 then find the value of 1/a+b+c^-1 + 1/a+b^-1 + 1/1+c+a^-1.
Prove `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1/a+1/b+1/c+1)` Prove `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1/a+1/b+1/c+1)`
Show that `|[1,1,1],[a,b,c],[bc,ca,ab]|=(a-b)(b-c)(c-a)` Show that `|[1,1,1],[a,b,c],[bc,ca,ab]|=(a-b)(b-c)(c-a)`