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Verified Answer :

Nirina7

the aswer is

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

Answer:

The simplest form is \(\frac{x^3-x^2}{x^4}=\frac{x-1}{x^2}\)

Step-by-step explanation:

Given the fraction \(\frac{x^3-x^2}{x^4}\)

we have to reduce the fraction to lowest terms.

Given fraction is

\(\frac{x^3-x^2}{x^4}\)

Take \(x^2\) common from numerator as well as denominator, we get

\(\frac{x^3-x^2}{x^4}=\frac{x^2(x-1)}{x^2(x^2)}\)

Cancel \(x^2\) from numerator as well as denominator, we get

\(\frac{x^3-x^2}{x^4}=\frac{x-1}{x^2}\)

which is the required simplest form.

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