x^3-x^2/x^4
To simplify the expression (x^3 - x^2) / x^4, we can follow these steps:
Step 1: Simplify the numerator.
The numerator is x^3 - x^2. To simplify this expression, note that both terms have a common factor of x^2. We can factor out x^2, resulting in:
x^3 - x^2 = x^2(x - 1).
Step 2: Simplify the denominator.
The denominator is x^4. It is already simplified.
Step 3: Simplify the entire expression.
The simplified expression is:
(x^2(x - 1)) / x^4.
Step 4: Cancel out common factors.
In the numerator, x^2 can be canceled out with one of the x^4 terms in the denominator. This gives:
(x - 1) / x^2.
So, the simplified form of (x^3 - x^2) / x^4 is (x - 1) / x^2.