Basic Math Examples

$\frac{8 a^{3} b^{7} c^{10}}{4 a^{2} b^{6}}$

Step 1

Cancel the common factor of $8$ and $4$ .

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Step 1.1

Factor $4$ out of $8 a^{3} b^{7} c^{10}$ .

$\frac{4 (2 a^{3} b^{7} c^{10})}{4 a^{2} b^{6}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $4 a^{2} b^{6}$ .

$\frac{4 (2 a^{3} b^{7} c^{10})}{4 (a^{2} b^{6})}$

Step 1.2.2

Cancel the common factor.

$\frac{4 (2 a^{3} b^{7} c^{10})}{4 (a^{2} b^{6})}$

Step 1.2.3

Rewrite the expression.

$\frac{2 a^{3} b^{7} c^{10}}{a^{2} b^{6}}$

$\frac{2 a^{3} b^{7} c^{10}}{a^{2} b^{6}}$

$\frac{2 a^{3} b^{7} c^{10}}{a^{2} b^{6}}$

Step 2

Cancel the common factor of $a^{3}$ and $a^{2}$ .

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Step 2.1

Factor $a^{2}$ out of $2 a^{3} b^{7} c^{10}$ .

$\frac{a^{2} (2 a b^{7} c^{10})}{a^{2} b^{6}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $a^{2}$ out of $a^{2} b^{6}$ .

$\frac{a^{2} (2 a b^{7} c^{10})}{a^{2} (b^{6})}$

Step 2.2.2

Cancel the common factor.

$\frac{a^{2} (2 a b^{7} c^{10})}{a^{2} b^{6}}$

Step 2.2.3

Rewrite the expression.

$\frac{2 a b^{7} c^{10}}{b^{6}}$

$\frac{2 a b^{7} c^{10}}{b^{6}}$

$\frac{2 a b^{7} c^{10}}{b^{6}}$

Step 3

Cancel the common factor of $b^{7}$ and $b^{6}$ .

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Step 3.1

Factor $b^{6}$ out of $2 a b^{7} c^{10}$ .

$\frac{b^{6} (2 a b c^{10})}{b^{6}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{b^{6} (2 a b c^{10})}{b^{6} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{b^{6} (2 a b c^{10})}{b^{6} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{2 a b c^{10}}{1}$

Step 3.2.4

Divide $2 a b c^{10}$ by $1$ .

$2 a b c^{10}$

$2 a b c^{10}$

$2 a b c^{10}$

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