Simplify (18a^3+30a^2)/(3a)

$\frac{18 a^{3} + 30 a^{2}}{3 a}$

Factor $6 a^{2}$ out of $18 a^{3} + 30 a^{2}$ .

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Factor $6 a^{2}$ out of $18 a^{3}$ .

$\frac{6 a^{2} (3 a) + 30 a^{2}}{3 a}$

Factor $6 a^{2}$ out of $30 a^{2}$ .

$\frac{6 a^{2} (3 a) + 6 a^{2} (5)}{3 a}$

Factor $6 a^{2}$ out of $6 a^{2} (3 a) + 6 a^{2} (5)$ .

$\frac{6 a^{2} (3 a + 5)}{3 a}$

Cancel the common factor of $6$ and $3$ .

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Factor $3$ out of $6 a^{2} (3 a + 5)$ .

$\frac{3 (2 a^{2} (3 a + 5))}{3 a}$

Cancel the common factors.

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Factor $3$ out of $3 a$ .

$\frac{3 (2 a^{2} (3 a + 5))}{3 (a)}$

Cancel the common factor.

$\frac{3 (2 a^{2} (3 a + 5))}{3 a}$

Rewrite the expression.

$\frac{2 a^{2} (3 a + 5)}{a}$

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

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Factor $a$ out of $2 a^{2} (3 a + 5)$ .

$\frac{a (2 a (3 a + 5))}{a}$

Cancel the common factors.

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

$\frac{a (2 a (3 a + 5))}{a^{1}}$

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

$\frac{a (2 a (3 a + 5))}{a \cdot 1}$

Cancel the common factor.

$\frac{a (2 a (3 a + 5))}{a \cdot 1}$

Rewrite the expression.

$\frac{2 a (3 a + 5)}{1}$

Divide $2 a (3 a + 5)$ by $1$ .

$2 a (3 a + 5)$

Apply the distributive property.

$2 a (3 a) + 2 a \cdot 5$

Simplify the expression.

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Multiply $a$ by $a$ .

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

Multiply $5$ by $2$ .

$2 \cdot 3 a^{2} + 10 a$

Multiply $2$ by $3$ .

$6 a^{2} + 10 a$

Simplify (18a^3+30a^2)/(3a)

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