SOLUTION: Divide: (4x^3 + 8x)/(3x) / (4x^2 + 8)/(6x^2)

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Question 207236: Divide: (4x^3 + 8x)/(3x) / (4x^2 + 8)/(6x^2)
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
[(4x^3 + 8x)/(3x)] / [(4x^2 + 8)/(6x^2)]


[(4x^3 + 8x)/(3x)] * [(6x^2)/(4x^2 + 8)]


[(4x(x^2 + 2))/(3x)] * [(3x*2x)/(4(x^2 + 2))]


x * 2x

2x^2

Answer:
[(4x^3 + 8x)/(3x)] / [(4x^2 + 8)/(6x^2)] = 2x^2