3x

^{2}-12/x^{2}-3x-18-x+2/x-6-
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3x^{2}-12/x^{2}-3x-18-x+2/x-6

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Place your Numerator and denominator in parenthesis .

( 3 X^2 -1) /( X^2 -3X-18) - ( X -2) / (X -6) =

( 3X^2 -1 ) / ( X -6) ( X +3) - ( X - 2) / ( X -6 ) =

( 3X^2 -1 ) / ( X -6 ) ( X +3 ) - ( X- 2 ) ( X +3 ) / ( X -6 ) ( X +3 ) =

( 3X^2 - 1 - X^2 - X +6 ) / ( X -6) ( X +3)=

( 2X^2 - X + 5 ) / ( X^2 - 3x - 18)

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