Reduce the fraction to lowest terms.
x^3-x^2
________=
x^4
To reduce the given fraction to its lowest terms, we need to simplify the numerator and denominator as much as possible.
The given expression is:
(x^3 - x^2) / x^4
To begin simplifying the numerator, we can factor out the common term x^2:
x^3 - x^2 = x^2(x - 1)
The expression can now be rewritten as:
x^2(x - 1) / x^4
To simplify the denominator, we can write it as x^2 raised to the power of 2:
x^4 = (x^2)^2
Now, the expression becomes:
(x^2(x - 1)) / ((x^2)^2)
Next, we can simplify further by canceling out common factors between the numerator and denominator. Here, we can cancel out one factor of x from the numerator and denominator:
(x(x - 1)) / (x^2)
This is the fraction in its reduced form.
factor x^2 from numerator and denominator
x^2(x-1)/(x^2*x^2)= (x-1)/x^2
check that.