Question 201274
( 2x) / (2x-3) = ? / ( 8x^3 -27)
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factor  second  den,,which  is  a  difference  of  cubes
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(2x) / (2x-3) = ? / (2x-3){4x^2 +2x(3) +9 }
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2x /1 = ? / ( 4x^2 +6x +9)
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cross  multiply
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? = 2x(4x^2 +6x +9)
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? = 8x^3 +12x^2 +18x
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check  for  x=1,,both  original  and  answer has ,,? =38,,,ok