Simplify EXPLAIN your answer.

$(x-5)/( x^(3) +27) + (2)/( x^(2) -9) = (x-5)/( x^(3)+27 ) + (2)/((x+3)(x-3)) \\ \\ long-division.. \\ (x^(3) +27)/(x+3) = x^(2) -3x+9 \\ \\ (x-5)/((x+3)( x^(2) -3x+9)) + (2)/((x+3)(x-3)) \\ \\ (x-5)/((x+3)( x^(2) -3x+9))* (x-3)/(x-3) + (2)/((x+3)(x-3)) * (x^(2) -3x+9)/( x^(2) -3x+9) = ((x-5)(x-3)+2( x^(2) -3x+9))/((x+3)(x-3)( x^(2) -3x+9))$

$((x-5)(x-3)+2( x^(2) -3x+9))/((x+3)(x-3)( x^(2) -3x+9)) = ( x^(2) -8x+15+2x^(2) -6x+18)/((x+3)(x-3)( x^(2) -3x+9)) \\ \\ ( 3x^(2) -14x+33)/((x+3)(x-3)( x^(2) -3x+9))$

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