Respuesta :
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.