Basic Math Examples

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{42 v^{4} (g^{5})}{6 v^{4} g}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $42$ and $6$ .

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Step 1.1.1

Factor $6$ out of $42 v^{4} (g^{5})$ .

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{6 (7 v^{4} g^{5})}{6 v^{4} g}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $6$ out of $6 v^{4} g$ .

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{6 (7 v^{4} g^{5})}{6 (v^{4} g)}$

Step 1.1.2.2

Cancel the common factor.

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{6 (7 v^{4} g^{5})}{6 (v^{4} g)}$

Step 1.1.2.3

Rewrite the expression.

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{7 v^{4} g^{5}}{v^{4} g}$

Step 1.2

Cancel the common factor of $v^{4}$ .

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Step 1.2.1

Cancel the common factor.

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{7 v^{4} g^{5}}{v^{4} g}$

Step 1.2.2

Rewrite the expression.

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{7 g^{5}}{g}$

Step 1.3

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

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Step 1.3.1

Factor $g$ out of $7 g^{5}$ .

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{g (7 g^{4})}{g}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Raise $g$ to the power of $1$ .

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{g (7 g^{4})}{g^{1}}$

Step 1.3.2.2

Factor $g$ out of $g^{1}$ .

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{g (7 g^{4})}{g \cdot 1}$

Step 1.3.2.3

Cancel the common factor.

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{g (7 g^{4})}{g \cdot 1}$

Step 1.3.2.4

Rewrite the expression.

$54 v^{9} g^{10} - 12 v^{7} g^{8} + \frac{7 g^{4}}{1}$

Step 1.3.2.5

Divide $7 g^{4}$ by $1$ .

$54 v^{9} g^{10} - 12 v^{7} g^{8} + 7 g^{4}$

Step 2

Reorder.

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Step 2.1

Move $v^{9}$ .

$54 g^{10} v^{9} - 12 v^{7} g^{8} + 7 g^{4}$

Step 2.2

Move $v^{7}$ .

$54 g^{10} v^{9} - 12 g^{8} v^{7} + 7 g^{4}$