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open vertical bar table row cell b to the power of 2 end exponent plus c to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell c to the power of 2 end exponent plus a to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell c to the power of 2 end exponent end cell cell c to the power of 2 end exponent end cell cell a to the power of 2 end exponent plus b to the power of 2 end exponent end cell end table close vertical bar equals

  1. a b c    
  2. 4 a b c    
  3. 4 a to the power of 2 end exponent b to the power of 2 end exponent c to the power of 2 end exponent    
  4. a to the power of 2 end exponent b to the power of 2 end exponent c to the power of 2 end exponent    

The correct answer is: 4 a to the power of 2 end exponent b to the power of 2 end exponent c to the power of 2 end exponent


    capital delta equals open vertical bar table row cell b to the power of 2 end exponent plus c to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell c to the power of 2 end exponent plus a to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell c to the power of 2 end exponent end cell cell c to the power of 2 end exponent end cell cell a to the power of 2 end exponent plus b to the power of 2 end exponent end cell end table close vertical bar
    =negative 2 open vertical bar table row 0 cell c to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell c to the power of 2 end exponent plus a to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell c to the power of 2 end exponent end cell cell c to the power of 2 end exponent end cell cell a to the power of 2 end exponent plus b to the power of 2 end exponent end cell end table close vertical bar,by R subscript 1 end subscript rightwards arrow R subscript 1 end subscript minus left parenthesis R subscript 2 end subscript plus R subscript 3 end subscript right parenthesis
    = negative 2 open vertical bar table row 0 cell c to the power of 2 end exponent end cell cell b to the power of 2 end exponent end cell row cell b to the power of 2 end exponent end cell cell a to the power of 2 end exponent end cell 0 row cell c to the power of 2 end exponent end cell 0 cell a to the power of 2 end exponent end cell end table close vertical bar, by R subscript 2 end subscript rightwards arrow R subscript 2 end subscript minus R subscript 1 end subscript R subscript 3 end subscript rightwards arrow R subscript 3 end subscript minus R subscript 1 end subscript
    = negative 2 left curly bracket negative c to the power of 2 end exponent left parenthesis b to the power of 2 end exponent a to the power of 2 end exponent right parenthesis plus b to the power of 2 end exponent left parenthesis negative c to the power of 2 end exponent a to the power of 2 end exponent right parenthesis right curly bracket equals 4 a to the power of 2 end exponent b to the power of 2 end exponent c to the power of 2 end exponent.
    Trick: Put alphaso that the option give different values

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