Precalculus Examples

$\frac{300 - x^{2}}{4 x} \cdot (x^{2})$

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Factor $x$ out of $4 x$ .

$\frac{300 - x^{2}}{x \cdot 4} \cdot x^{2}$

Step 1.2

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

$\frac{300 - x^{2}}{x \cdot 4} \cdot (x \cdot x)$

Step 1.3

Cancel the common factor.

$\frac{300 - x^{2}}{x \cdot 4} \cdot (x \cdot x)$

Step 1.4

Rewrite the expression.

$\frac{300 - x^{2}}{4} \cdot x$

$\frac{300 - x^{2}}{4} \cdot x$

Step 2

Combine $\frac{300 - x^{2}}{4}$ and $x$ .

$\frac{(300 - x^{2}) x}{4}$

Step 3

Reorder factors in $\frac{(300 - x^{2}) x}{4}$ .

$\frac{x (300 - x^{2})}{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$