josecastro7756
josecastro7756 josecastro7756
  • 25-06-2019
  • Mathematics
contestada

Divide the binomial by the monomial to find the quotient.

48x^4y-72x^6y^2
-------------------------
-12x^2y

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-06-2019

Answer:

  -4x² +6x⁴y

Step-by-step explanation:

Deal with it term by term, factor by factor.

[tex]\dfrac{48x^4y-72x^6y^2}{-12x^2y}=\dfrac{48x^4y}{-12x^2y}+\dfrac{-72x^6y^2}{-12x^2y}\\\\=\dfrac{48}{-12}\cdot\dfrac{x^4}{x^2}\cdot\dfrac{y}{y}+\dfrac{-72}{-12}\cdot\dfrac{x^6}{x^2}\cdot\dfrac{y^2}{y}=-4x^2+6x^4y[/tex]

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