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Assuming that $3x + 12y\neq0$, simplify $\dfrac{12x^3 + 48x^2y}{3x+12y}$.

Guest Oct 15, 2017

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 #1
avatar+5256 
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Assuming that 3x + 12y  ≠  0 , simplify

 

     \(\dfrac{12x^3 + 48x^2y}{3x+12y}\)                   Factor  4x2  out of the numerator.

 

\(=\,\dfrac{4x^2(3x + 12y)}{3x+12y}\)                 Divide the numerator and denominator by  3x + 12y .

 

\(=\,4x^2\)

hectictar  Oct 15, 2017
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1+0 Answers

 #1
avatar+5256 
+1
Best Answer

Assuming that 3x + 12y  ≠  0 , simplify

 

     \(\dfrac{12x^3 + 48x^2y}{3x+12y}\)                   Factor  4x2  out of the numerator.

 

\(=\,\dfrac{4x^2(3x + 12y)}{3x+12y}\)                 Divide the numerator and denominator by  3x + 12y .

 

\(=\,4x^2\)

hectictar  Oct 15, 2017

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