CBSE Class 12-commerce Answered

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Asked by felixlukose | 17 May, 2019, 02:23: PM

Expert Answer

L e t space triangle equals open vertical bar table row a cell a cubed end cell cell a to the power of 4 minus 1 end cell row b cell b cubed end cell cell b to the power of 4 minus 1 end cell row c cell c cubed end cell cell c to the power of 4 minus 1 end cell end table close vertical bar equals open vertical bar table row a cell a cubed end cell cell a to the power of 4 end cell row b cell b cubed end cell cell b to the power of 4 end cell row c cell c cubed end cell cell c to the power of 4 end cell end table close vertical bar plus open vertical bar table row a cell a cubed end cell cell negative 1 end cell row b cell b cubed end cell cell negative 1 end cell row c cell c cubed end cell cell negative 1 end cell end table close vertical bar equals a b c open vertical bar table row 1 cell a squared end cell cell a cubed end cell row 1 cell b squared end cell cell b cubed end cell row 1 cell c squared end cell cell c cubed end cell end table close vertical bar minus open vertical bar table row a cell a cubed end cell 1 row b cell b cubed end cell 1 row c cell c cubed end cell 1 end table close vertical bar A p p l y i n g space R subscript 2 rightwards arrow R subscript 2 minus R subscript 1 space a n d space R subscript 3 rightwards arrow R subscript 3 minus R subscript 1 space triangle equals a b c open vertical bar table row 1 cell a squared end cell cell a cubed end cell row 0 cell b squared minus a squared end cell cell b cubed minus a cubed end cell row 0 cell c squared minus a squared end cell cell c cubed minus a cubed end cell end table close vertical bar minus open vertical bar table row a cell a cubed end cell 1 row cell b minus a end cell cell b cubed minus a cubed end cell 0 row cell c minus a end cell cell c cubed minus a cubed end cell 0 end table close vertical bar triangle equals a b c left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis open vertical bar table row 1 cell a squared end cell cell a cubed end cell row 0 cell b plus a end cell cell b squared plus a squared plus a b end cell row 0 cell c plus a end cell cell c squared plus a squared plus a c end cell end table close vertical bar minus left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis open vertical bar table row a cell a cubed end cell 1 row 1 cell b squared plus a squared plus a b end cell 0 row 1 cell c squared plus a squared plus a c end cell 0 end table close vertical bar triangle equals a b c left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis open vertical bar table row cell a plus b end cell cell a squared plus b squared plus a b end cell row cell a plus c end cell cell a squared plus c squared plus a c end cell end table close vertical bar minus left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis open vertical bar table row 1 cell a squared plus b squared plus a b end cell row 1 cell a squared plus c squared plus a c end cell end table close vertical bar A p p l y i n g space R subscript 2 rightwards arrow R subscript 2 minus R subscript 1 rightwards double arrow triangle equals a b c left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis open vertical bar table row cell a plus b end cell cell a squared plus b squared plus a b end cell row cell c minus b end cell cell c squared minus b squared plus a left parenthesis c minus b right parenthesis end cell end table close vertical bar minus left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis open vertical bar table row 1 cell a squared plus b squared plus a b end cell row 0 cell c squared minus b squared plus a left parenthesis c minus b right parenthesis end cell end table close vertical bar rightwards double arrow triangle equals a b c left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open vertical bar table row cell a plus b end cell cell a squared plus b squared plus a b end cell row 1 cell a plus b plus c end cell end table close vertical bar minus left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open vertical bar table row 1 cell a squared plus b squared plus a b end cell row 0 cell a plus b plus c end cell end table close vertical bar rightwards double arrow triangle equals a b c left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open square brackets open parentheses a plus b close parentheses open parentheses a plus b plus c close parentheses minus open parentheses a squared plus b squared plus a b close parentheses close square brackets minus left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open parentheses a plus b plus c close parentheses rightwards double arrow triangle equals a b c left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open square brackets a b plus b c plus c a close square brackets minus left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open parentheses a plus b plus c close parentheses rightwards double arrow triangle equals left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open square brackets a b c open parentheses a b plus b c plus c a close parentheses minus open parentheses a plus b plus c close parentheses close square brackets G i v e n space t h a t space triangle equals 0 rightwards double arrow left parenthesis b minus a right parenthesis left parenthesis c minus a right parenthesis left parenthesis c minus b right parenthesis open square brackets a b c open parentheses a b plus b c plus c a close parentheses minus open parentheses a plus b plus c close parentheses close square brackets equals 0 S i n c e comma space a comma space b space a n d space c space a r e space a l l space d i s t i n c t rightwards double arrow a b c open parentheses a b plus b c plus c a close parentheses minus open parentheses a plus b plus c close parentheses equals 0 rightwards double arrow a b c open parentheses a b plus b c plus c a close parentheses equals open parentheses a plus b plus c close parentheses

Answered by Renu Varma | 18 May, 2019, 12:34: PM

CBSE Class 12-commerce Answered

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CBSE Class 12-commerce Answered

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