Find the Quotient of the Two Functions f(x)=x^2 , g(x)=x^3-x^2

$f (x) = x^{2}$ , $g (x) = x^{3} - x^{2}$

Step 1

Replace the function designators with the actual functions in $\frac{f (x)}{g (x)}$ .

$\frac{x^{2}}{x^{3} - x^{2}}$

Step 2

Simplify.

Factor $x^{2}$ out of $x^{3} - x^{2}$ .

Factor $x^{2}$ out of $x^{3}$ .

$\frac{x^{2}}{x^{2} x - x^{2}}$

Factor $x^{2}$ out of $- x^{2}$ .

$\frac{x^{2}}{x^{2} x + x^{2} \cdot - 1}$

Factor $x^{2}$ out of $x^{2} x + x^{2} \cdot - 1$ .

$\frac{x^{2}}{x^{2} (x - 1)}$

Cancel the common factor of $x^{2}$ .

Cancel the common factor.

$\frac{x^{2}}{x^{2} (x - 1)}$

Rewrite the expression.

$\frac{1}{x - 1}$