Algebra Examples

$(\frac{4 r^{3}}{2 r^{5}})$

Step 1

Remove parentheses.

$\frac{4 r^{3}}{2 r^{5}}$

Step 2

Cancel the common factor of $4$ and $2$ .

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Step 2.1

Factor $2$ out of $4 r^{3}$ .

$\frac{2 (2 r^{3})}{2 r^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 r^{5}$ .

$\frac{2 (2 r^{3})}{2 (r^{5})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (2 r^{3})}{2 r^{5}}$

Step 2.2.3

Rewrite the expression.

$\frac{2 r^{3}}{r^{5}}$

$\frac{2 r^{3}}{r^{5}}$

$\frac{2 r^{3}}{r^{5}}$

Step 3

Cancel the common factor of $r^{3}$ and $r^{5}$ .

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Step 3.1

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

$\frac{r^{3} \cdot 2}{r^{5}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $r^{3}$ out of $r^{5}$ .

$\frac{r^{3} \cdot 2}{r^{3} r^{2}}$

Step 3.2.2

Cancel the common factor.

$\frac{r^{3} \cdot 2}{r^{3} r^{2}}$

Step 3.2.3

Rewrite the expression.

$\frac{2}{r^{2}}$

$\frac{2}{r^{2}}$

$\frac{2}{r^{2}}$

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