open vertical bar table row cell x plus 4 end cell cell 2 x end cell cell 2 x end cell row cell 2 x end cell cell x plus 4 end cell cell 2 x end cell row cell 2 x end cell cell 2 x end cell cell x plus 4 end cell end table close vertical bar space equals space left parenthesis 5 x plus 4 right parenthesis left parenthesis 4 minus x right parenthesis squared using property...prove it.

Asked by Lochana Jayachandran | 5th Oct, 2014, 07:26: PM

Expert Answer:

C o n s i d e r space t h e space d e t e r m i n a n t D equals space open vertical bar table row cell x plus 4 end cell cell 2 x end cell cell 2 x end cell row cell 2 x end cell cell x plus 4 end cell cell 2 x end cell row cell 2 x end cell cell 2 x end cell cell x plus 4 end cell end table close vertical bar A p p l y i n g comma space C subscript 1 rightwards arrow C subscript 1 plus C subscript 2 plus C subscript 3 comma space w e space h a v e comma D equals open vertical bar table row cell 5 x plus 4 end cell cell 2 x end cell cell 2 x end cell row cell 5 x plus 4 end cell cell x plus 4 end cell cell 2 x end cell row cell 5 x plus 4 end cell cell 2 x end cell cell x plus 4 end cell end table close vertical bar rightwards double arrow D equals open parentheses 5 x plus 4 close parentheses open vertical bar table row 1 cell 2 x end cell cell 2 x end cell row 1 cell x plus 4 end cell cell 2 x end cell row 1 cell 2 x end cell cell x plus 4 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 space a n d space R subscript 3 rightwards arrow R subscript 3 minus R subscript 2 space w e space h a v e comma D equals open parentheses 5 x plus 4 close parentheses open vertical bar table row 1 cell 2 x end cell cell 2 x end cell row 0 cell 4 minus x end cell 0 row 0 cell x minus 4 end cell cell 4 minus x end cell end table close vertical bar rightwards double arrow D equals open parentheses 5 x plus 4 close parentheses open parentheses 4 minus x close parentheses squared

Answered by Vimala Ramamurthy | 6th Oct, 2014, 12:41: PM

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