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CBSE Class 12-commerce Answered

Q 28
Asked by kumarsaurav68 | 31 Oct, 2018, 12:29: PM
Expert Answer
begin mathsize 18px style open vertical bar table row cell negative yz end cell cell straight y squared plus yz end cell cell straight z squared plus yz end cell row cell straight x squared plus xz end cell cell negative xz end cell cell straight z squared plus xz end cell row cell straight x squared plus xy end cell cell straight y squared plus xy end cell cell negative xy end cell end table close vertical bar
t a k e space x comma space y space a n d space z space c o m m o n space f r o m space c o l u m n
equals xyz open vertical bar table row cell fraction numerator negative yz over denominator straight x end fraction end cell cell straight y plus straight z end cell cell straight z plus straight y end cell row cell straight x plus straight z end cell cell fraction numerator negative xz over denominator straight y end fraction end cell cell straight z plus straight x end cell row cell straight x plus straight y end cell cell straight y plus straight x end cell cell fraction numerator negative xy over denominator straight z end fraction end cell end table close vertical bar
equals xyz open vertical bar table row cell fraction numerator negative yz over denominator straight x end fraction end cell cell straight y plus straight z end cell cell straight z plus straight y end cell row cell straight x plus straight z end cell cell fraction numerator negative xz over denominator straight y end fraction end cell cell straight z plus straight x end cell row cell straight x plus straight y end cell cell straight y plus straight x end cell cell fraction numerator negative xy over denominator straight z end fraction end cell end table close vertical bar
m u l t i p l y space x comma y comma z space r o w space w i s e
equals open vertical bar table row cell negative yz end cell cell xy plus xz end cell cell xz plus xy end cell row cell xy plus yz end cell cell negative xz end cell cell zy plus xy end cell row cell xz plus zy end cell cell yz plus xz end cell cell negative xy end cell end table close vertical bar
subscript straight R 1 equals straight R 1 plus straight R 2 plus straight R 3 end subscript
equals open vertical bar table row cell xy plus yz plus xz end cell cell xy plus yz plus xz end cell cell xy plus yz plus xz end cell row cell xy plus yz end cell cell negative xz end cell cell zy plus xy end cell row cell xz plus zy end cell cell yz plus xz end cell cell negative xy end cell end table close vertical bar
equals open parentheses xy plus yz plus xz close parentheses open vertical bar table row 1 1 1 row cell xy plus yz end cell cell negative xz end cell cell zy plus xy end cell row cell xz plus zy end cell cell yz plus xz end cell cell negative xy end cell end table close vertical bar
straight C 1 equals straight C 1 minus straight C 2
equals open parentheses xy plus yz plus xz close parentheses open vertical bar table row 0 1 1 row cell xy plus yz plus xz end cell cell negative xz end cell cell zy plus xy end cell row 0 cell yz plus xz end cell cell negative xy end cell end table close vertical bar
equals open parentheses xy plus yz plus xz close parentheses squared open vertical bar table row 0 1 1 row 1 cell negative xz end cell cell zy plus xy end cell row 0 cell yz plus xz end cell cell negative xy end cell end table close vertical bar
straight C 3 equals straight C 3 minus straight C 2
equals open parentheses xy plus yz plus xz close parentheses squared open vertical bar table row 0 1 0 row 1 cell negative xz end cell cell xy plus yz plus xz end cell row 0 cell yz plus xz end cell cell negative left parenthesis xy plus yz plus xz right parenthesis end cell end table close vertical bar
equals open parentheses xy plus yz plus xz close parentheses cubed open vertical bar table row 0 1 0 row 1 cell negative xz end cell 1 row 0 cell yz plus xz end cell cell negative left parenthesis 1 right parenthesis end cell end table close vertical bar
equals open parentheses xy plus yz plus xz close parentheses cubed end style
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