Respuesta :

the aswer is

x^3-x^2
_______ =  
x - 1 / x^2  (simplified by x^2)
x^4 ...?

Answer:

The simplest form is [tex]\frac{x^3-x^2}{x^4}=\frac{x-1}{x^2}[/tex]

Step-by-step explanation:

Given the fraction [tex]\frac{x^3-x^2}{x^4}[/tex]

we have to reduce the fraction to lowest terms.

Given fraction is

[tex]\frac{x^3-x^2}{x^4}[/tex]

Take [tex]x^2[/tex] common from numerator as well as denominator, we get

[tex]\frac{x^3-x^2}{x^4}=\frac{x^2(x-1)}{x^2(x^2)}[/tex]

Cancel [tex]x^2[/tex] from numerator as well as denominator, we get

[tex]\frac{x^3-x^2}{x^4}=\frac{x-1}{x^2}[/tex]

which is the required simplest form.

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