Algebra Examples

$\frac{12 c^{24} d^{10}}{2 c^{8} d^{3}} - 13 c^{16} d^{7}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $12$ and $2$ .

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Step 1.1.1

Factor $2$ out of $12 c^{24} d^{10}$ .

$\frac{2 (6 c^{24} d^{10})}{2 c^{8} d^{3}} - 13 c^{16} d^{7}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $2 c^{8} d^{3}$ .

$\frac{2 (6 c^{24} d^{10})}{2 (c^{8} d^{3})} - 13 c^{16} d^{7}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 (6 c^{24} d^{10})}{2 (c^{8} d^{3})} - 13 c^{16} d^{7}$

Step 1.1.2.3

Rewrite the expression.

$\frac{6 c^{24} d^{10}}{c^{8} d^{3}} - 13 c^{16} d^{7}$

Step 1.2

Cancel the common factor of $c^{24}$ and $c^{8}$ .

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Step 1.2.1

Factor $c^{8}$ out of $6 c^{24} d^{10}$ .

$\frac{c^{8} (6 c^{16} d^{10})}{c^{8} d^{3}} - 13 c^{16} d^{7}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $c^{8}$ out of $c^{8} d^{3}$ .

$\frac{c^{8} (6 c^{16} d^{10})}{c^{8} (d^{3})} - 13 c^{16} d^{7}$

Step 1.2.2.2

Cancel the common factor.

$\frac{c^{8} (6 c^{16} d^{10})}{c^{8} d^{3}} - 13 c^{16} d^{7}$

Step 1.2.2.3

Rewrite the expression.

$\frac{6 c^{16} d^{10}}{d^{3}} - 13 c^{16} d^{7}$

Step 1.3

Cancel the common factor of $d^{10}$ and $d^{3}$ .

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Step 1.3.1

Factor $d^{3}$ out of $6 c^{16} d^{10}$ .

$\frac{d^{3} (6 c^{16} d^{7})}{d^{3}} - 13 c^{16} d^{7}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Multiply by $1$ .

$\frac{d^{3} (6 c^{16} d^{7})}{d^{3} \cdot 1} - 13 c^{16} d^{7}$

Step 1.3.2.2

Cancel the common factor.

$\frac{d^{3} (6 c^{16} d^{7})}{d^{3} \cdot 1} - 13 c^{16} d^{7}$

Step 1.3.2.3

Rewrite the expression.

$\frac{6 c^{16} d^{7}}{1} - 13 c^{16} d^{7}$

Step 1.3.2.4

Divide $6 c^{16} d^{7}$ by $1$ .

$6 c^{16} d^{7} - 13 c^{16} d^{7}$

Step 2

Subtract $13 c^{16} d^{7}$ from $6 c^{16} d^{7}$ .

$- 7 c^{16} d^{7}$