Divide (30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)

$\frac{30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$

Factor $6 c^{3} d$ out of $30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d$ .

Factor $6 c^{3} d$ out of $30 c^{8} d^{3}$ .

$\frac{6 c^{3} d (5 c^{5} d^{2}) - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$

Factor $6 c^{3} d$ out of $- 36 c^{6} d^{2}$ .

$\frac{6 c^{3} d (5 c^{5} d^{2}) + 6 c^{3} d (- 6 c^{3} d) + 6 c^{3} d}{12 c^{2} d}$

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

$\frac{6 c^{3} d (5 c^{5} d^{2}) + 6 c^{3} d (- 6 c^{3} d) + 6 c^{3} d (1)}{12 c^{2} d}$

Factor $6 c^{3} d$ out of $6 c^{3} d (5 c^{5} d^{2}) + 6 c^{3} d (- 6 c^{3} d)$ .

$\frac{6 c^{3} d (5 c^{5} d^{2} - 6 c^{3} d) + 6 c^{3} d (1)}{12 c^{2} d}$

Factor $6 c^{3} d$ out of $6 c^{3} d (5 c^{5} d^{2} - 6 c^{3} d) + 6 c^{3} d (1)$ .

$\frac{6 c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1)}{12 c^{2} d}$

Cancel the common factor of $6$ and $12$ .

Factor $6$ out of $6 c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1)$ .

$\frac{6 (c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1))}{12 c^{2} d}$

Cancel the common factors.

Factor $6$ out of $12 c^{2} d$ .

$\frac{6 (c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1))}{6 (2 c^{2} d)}$

Cancel the common factor.

$\frac{6 (c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1))}{6 (2 c^{2} d)}$

Rewrite the expression.

$\frac{c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1)}{2 c^{2} d}$

Cancel the common factor of $c^{3}$ and $c^{2}$ .

Factor $c^{2}$ out of $c^{3} d (5 c^{5} d^{2} - 6 c^{3} d + 1)$ .

$\frac{c^{2} (c d (5 c^{5} d^{2} - 6 c^{3} d + 1))}{2 c^{2} d}$

Cancel the common factors.

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

$\frac{c^{2} (c d (5 c^{5} d^{2} - 6 c^{3} d + 1))}{c^{2} (2 d)}$

Cancel the common factor.

$\frac{c^{2} (c d (5 c^{5} d^{2} - 6 c^{3} d + 1))}{c^{2} (2 d)}$

Rewrite the expression.

$\frac{c d (5 c^{5} d^{2} - 6 c^{3} d + 1)}{2 d}$

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{c d (5 c^{5} d^{2} - 6 c^{3} d + 1)}{2 d}$

Rewrite the expression.

$\frac{c (5 c^{5} d^{2} - 6 c^{3} d + 1)}{2}$

Apply the distributive property.

$\frac{c (5 c^{5} d^{2}) + c (- 6 c^{3} d) + c \cdot 1}{2}$

Simplify.

Rewrite using the commutative property of multiplication.

$\frac{5 c (c^{5} d^{2}) + c (- 6 c^{3} d) + c \cdot 1}{2}$

Rewrite using the commutative property of multiplication.

$\frac{5 c (c^{5} d^{2}) - 6 c (c^{3} d) + c \cdot 1}{2}$

Multiply $c$ by $1$ .

$\frac{5 c (c^{5} d^{2}) - 6 c (c^{3} d) + c}{2}$

Simplify each term.

Multiply $c$ by $c^{5}$ by adding the exponents.

Move $c^{5}$ .

$\frac{5 (c^{5} c) d^{2} - 6 c (c^{3} d) + c}{2}$

Multiply $c^{5}$ by $c$ .

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

$\frac{5 (c^{5} c^{1}) d^{2} - 6 c (c^{3} d) + c}{2}$

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

$\frac{5 c^{5 + 1} d^{2} - 6 c (c^{3} d) + c}{2}$

Add $5$ and $1$ .

$\frac{5 c^{6} d^{2} - 6 c (c^{3} d) + c}{2}$

Multiply $c$ by $c^{3}$ by adding the exponents.

Move $c^{3}$ .

$\frac{5 c^{6} d^{2} - 6 (c^{3} c) d + c}{2}$

Multiply $c^{3}$ by $c$ .

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

$\frac{5 c^{6} d^{2} - 6 (c^{3} c^{1}) d + c}{2}$

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

$\frac{5 c^{6} d^{2} - 6 c^{3 + 1} d + c}{2}$

Add $3$ and $1$ .

$\frac{5 c^{6} d^{2} - 6 c^{4} d + c}{2}$

Split the fraction $\frac{5 c^{6} d^{2} - 6 c^{4} d + c}{2}$ into two fractions.

$\frac{5 c^{6} d^{2} - 6 c^{4} d}{2} + \frac{c}{2}$

Split the fraction $\frac{5 c^{6} d^{2} - 6 c^{4} d}{2}$ into two fractions.

$\frac{5 c^{6} d^{2}}{2} + \frac{- 6 c^{4} d}{2} + \frac{c}{2}$

Cancel the common factor of $- 6$ and $2$ .

Factor $2$ out of $- 6 c^{4} d$ .

$\frac{5 c^{6} d^{2}}{2} + \frac{2 (- 3 c^{4} d)}{2} + \frac{c}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{5 c^{6} d^{2}}{2} + \frac{2 (- 3 c^{4} d)}{2 (1)} + \frac{c}{2}$

Cancel the common factor.

$\frac{5 c^{6} d^{2}}{2} + \frac{2 (- 3 c^{4} d)}{2 \cdot 1} + \frac{c}{2}$

Rewrite the expression.

$\frac{5 c^{6} d^{2}}{2} + \frac{- 3 c^{4} d}{1} + \frac{c}{2}$

Divide $- 3 c^{4} d$ by $1$ .

$\frac{5 c^{6} d^{2}}{2} - 3 c^{4} d + \frac{c}{2}$

Divide (30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)

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