Basic Math Examples

\frac{a^{3} b^{3}}{c} \cdot \frac{c}{a^{3} b^{2}}

$\frac{a^{3} b^{3}}{c} \cdot \frac{c}{a^{3} b^{2}}$

Step 1

Combine.

\frac{a^{3} b^{3} c}{c (a^{3} b^{2})}

$\frac{a^{3} b^{3} c}{c (a^{3} b^{2})}$

Step 2

Cancel the common factor of

a^{3}

$a^{3}$ .

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Step 2.1

Cancel the common factor.

\frac{a^{3} b^{3} c}{c (a^{3} b^{2})}

$\frac{a^{3} b^{3} c}{c (a^{3} b^{2})}$

Step 2.2

Rewrite the expression.

\frac{b^{3} c}{c (b^{2})}

$\frac{b^{3} c}{c (b^{2})}$

\frac{b^{3} c}{c (b^{2})}

$\frac{b^{3} c}{c (b^{2})}$

Step 3

Cancel the common factor of

b^{3}

$b^{3}$ and

b^{2}

$b^{2}$ .

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Step 3.1

Factor

b^{2}

$b^{2}$ out of

b^{3} c

$b^{3} c$ .

\frac{b^{2} (b c)}{c (b^{2})}

$\frac{b^{2} (b c)}{c (b^{2})}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor

b^{2}

$b^{2}$ out of

c (b^{2})

$c (b^{2})$ .

\frac{b^{2} (b c)}{b^{2} c}

$\frac{b^{2} (b c)}{b^{2} c}$

Step 3.2.2

Cancel the common factor.

\frac{b^{2} (b c)}{b^{2} c}

$\frac{b^{2} (b c)}{b^{2} c}$

Step 3.2.3

Rewrite the expression.

\frac{b c}{c}

$\frac{b c}{c}$

\frac{b c}{c}

$\frac{b c}{c}$

\frac{b c}{c}

$\frac{b c}{c}$

Step 4

Cancel the common factor of

c

$c$ .

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Step 4.1

Cancel the common factor.

\frac{b c}{c}

$\frac{b c}{c}$

Step 4.2

Divide

b

$b$ by

1

$1$ .

b

$b$

b

$b$

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

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