Algebra Examples

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

Step 1

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

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

Step 2

Simplify.

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

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

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

Step 2.1.3

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

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

Step 2.2

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

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Step 2.2.1

Cancel the common factor.

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

Step 2.2.2

Divide $x - 1$ by $1$ .

$x - 1$

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