Basic Math Examples

$9 a^{3} b^{3} + 3 a^{3} b^{2} (2 b)$

Step 1

Factor $3 a^{3} b^{2}$ out of $9 a^{3} b^{3} + 3 a^{3} b^{2} (2 b)$ .

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Step 1.1

Factor $3 a^{3} b^{2}$ out of $9 a^{3} b^{3}$ .

$3 a^{3} b^{2} (3 b) + 3 a^{3} b^{2} (2 b)$

Step 1.2

Factor $3 a^{3} b^{2}$ out of $3 a^{3} b^{2} (3 b) + 3 a^{3} b^{2} (2 b)$ .

$3 a^{3} b^{2} (3 b + 2 b)$

Step 2

Factor.

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Step 2.1

Add $3 b$ and $2 b$ .

$3 a^{3} b^{2} (5 b)$

Step 2.2

Remove unnecessary parentheses.

$3 a^{3} b^{2} \cdot 5 b$

Step 3

Combine exponents.

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Step 3.1

Multiply $5$ by $3$ .

$15 a^{3} b^{2} b$

Step 3.2

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

$15 a^{3} (b^{1} b^{2})$

Step 3.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$15 a^{3} b^{1 + 2}$

Step 3.4

Add $1$ and $2$ .

$15 a^{3} b^{3}$