SOLUTION: 2x/2x-3=?/8x^3-27

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Question 201274This question is from textbook
: 2x/2x-3=?/8x^3-27
 This question is from textbook

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
( 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