Find the value of ∆, where

$increment space space equals space open vertical bar table row 6 cell space minus 3 end cell cell space space space space 2 end cell row 2 cell space minus 1 end cell cell space space space space 2 end cell row cell negative 10 end cell cell space space space space space 5 end cell cell space space space space 2 end cell end table close vertical bar$

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Solution

Here space increment space space equals space open vertical bar table row 6 cell space minus 3 end cell cell space space space space 2 end cell row 2 cell space minus 1 end cell cell space space space space 2 end cell row cell negative 10 end cell cell space space space space space 5 end cell cell space space space space 2 end cell end table close vertical bar space space space space space space space space space space space space space space space space equals space space 6 space space open vertical bar table row cell negative 1 end cell cell space space space 2 end cell row 5 cell space space space 2 end cell end table close vertical bar space minus left parenthesis negative 3 right parenthesis space open vertical bar table row 2 cell space space space 2 end cell row cell negative 10 end cell cell space space space 2 end cell end table close vertical bar space plus 2 space open vertical bar table row 2 cell space minus 1 end cell row cell negative 10 end cell cell space space space space 5 end cell end table close vertical bar space space space space space space space space space space space space space space space space equals space space 6 space space left parenthesis negative 2 minus 10 right parenthesis plus 3 left parenthesis 4 plus 20 right parenthesis plus 2 plus left parenthesis 10 minus 10 right parenthesis equals negative 72 space plus 72 equals 0 space space space space space

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