Basic Math Examples

$13 w^{3} + 26 w^{6} \div 13$

Step 1

Factor $13 w^{3}$ out of $13 w^{3} + 26 w^{6} \div 13$ .

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Step 1.1

Factor $13 w^{3}$ out of $13 w^{3}$ .

$13 w^{3} (1) + 26 w^{6} \div 13$

Step 1.2

Factor $13 w^{3}$ out of $26 w^{6} \div 13$ .

$13 w^{3} (1) + 13 w^{3} \frac{2 w^{3}}{13}$

Step 1.3

Factor $13 w^{3}$ out of $13 w^{3} (1) + 13 w^{3} \frac{2 w^{3}}{13}$ .

$13 w^{3} (1 + \frac{2 w^{3}}{13})$

Step 2

Factor.

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Step 2.1

Factor $\frac{1}{13}$ out of each term.

$13 w^{3} (\frac{1}{13} (13 + 2 w^{3}))$

Step 2.2

Remove unnecessary parentheses.

$13 w^{3} \frac{1}{13} (13 + 2 w^{3})$

Step 3

Combine exponents.

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Step 3.1

Combine $13$ and $\frac{1}{13}$ .

$w^{3} \frac{13}{13} (13 + 2 w^{3})$

Step 3.2

Combine $w^{3}$ and $\frac{13}{13}$ .

$\frac{w^{3} \cdot 13}{13} (13 + 2 w^{3})$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Reduce the expression $\frac{w^{3} \cdot 13}{13}$ by cancelling the common factors.

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Step 4.1.1

Cancel the common factor.

$\frac{w^{3} \cdot 13}{13} \cdot (13 + 2 w^{3})$

Step 4.1.2

Rewrite the expression.

$\frac{w^{3}}{1} \cdot (13 + 2 w^{3})$

Step 4.2

Divide $w^{3}$ by $1$ .

$w^{3} \cdot (13 + 2 w^{3})$