Reduce the fraction to lowest terms. Do not use spaces in answer.
x^3-x^2
________=
x^4
To reduce the fraction to its lowest terms, we need to find the greatest common factor (GCF) of both the numerator and the denominator.
Let's factor the numerator (x^3 - x^2) and the denominator (x^4) separately.
Numerator (x^3 - x^2):
x^3 - x^2 = x^2(x - 1)
Denominator (x^4):
x^4 = x^2 * x^2
Now, let's cancel out the common factors between the numerator and denominator. In this case, x^2 is a common factor, so we can divide both the numerator and the denominator by x^2.
(x^2(x - 1)) / (x^2 * x^2)
After canceling out the common factor x^2, we are left with:
(x - 1) / (x^2)
So, the fraction (x^3 - x^2) / x^4 reduced to its lowest terms is (x - 1) / x^2.