caitlin3020
caitlin3020 caitlin3020
  • 11-12-2019
  • Mathematics
contestada

Reduce the fraction to lowest terms. Do not use spaces in your anwer,
x^3-x^2/x^3

Respuesta :

gmany
gmany gmany
  • 11-12-2019

Answer:

[tex]\large\boxed{\dfrac{x-1}{x}=1-\dfrac{1}{x}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^3-x^2}{x^3}=\dfrac{x^2x-1x^2}{x^2x}=\dfrac{x^2(x-1)}{x^2(x)}\qquad\text{cancel}\ x^2\\\\=\dfrac{x-1}{x}=\dfrac{x}{x}-\dfrac{1}{x}=1-\dfrac{1}{x}[/tex]

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