Algebra Examples

$\frac{25 a^{5} b^{3} c}{5 a b^{4} c}$

Step 1

Cancel the common factor of $25$ and $5$ .

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Step 1.1

Factor $5$ out of $25 a^{5} b^{3} c$ .

$\frac{5 (5 a^{5} b^{3} c)}{5 a b^{4} c}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $5 a b^{4} c$ .

$\frac{5 (5 a^{5} b^{3} c)}{5 (a b^{4} c)}$

Step 1.2.2

Cancel the common factor.

$\frac{5 (5 a^{5} b^{3} c)}{5 (a b^{4} c)}$

Step 1.2.3

Rewrite the expression.

$\frac{5 a^{5} b^{3} c}{a b^{4} c}$

$\frac{5 a^{5} b^{3} c}{a b^{4} c}$

$\frac{5 a^{5} b^{3} c}{a b^{4} c}$

Step 2

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

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Step 2.1

Factor $a$ out of $5 a^{5} b^{3} c$ .

$\frac{a (5 a^{4} b^{3} c)}{a b^{4} c}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $a$ out of $a b^{4} c$ .

$\frac{a (5 a^{4} b^{3} c)}{a (b^{4} c)}$

Step 2.2.2

Cancel the common factor.

$\frac{a (5 a^{4} b^{3} c)}{a (b^{4} c)}$

Step 2.2.3

Rewrite the expression.

$\frac{5 a^{4} b^{3} c}{b^{4} c}$

$\frac{5 a^{4} b^{3} c}{b^{4} c}$

$\frac{5 a^{4} b^{3} c}{b^{4} c}$

Step 3

Cancel the common factor of $b^{3}$ and $b^{4}$ .

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Step 3.1

Factor $b^{3}$ out of $5 a^{4} b^{3} c$ .

$\frac{b^{3} (5 a^{4} c)}{b^{4} c}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $b^{3}$ out of $b^{4} c$ .

$\frac{b^{3} (5 a^{4} c)}{b^{3} (b c)}$

Step 3.2.2

Cancel the common factor.

$\frac{b^{3} (5 a^{4} c)}{b^{3} (b c)}$

Step 3.2.3

Rewrite the expression.

$\frac{5 a^{4} c}{b c}$

$\frac{5 a^{4} c}{b c}$

$\frac{5 a^{4} c}{b c}$

Step 4

Cancel the common factor of $c$ .

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Step 4.1

Cancel the common factor.

$\frac{5 a^{4} c}{b c}$

Step 4.2

Rewrite the expression.

$\frac{5 a^{4}}{b}$

$\frac{5 a^{4}}{b}$

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