Divide (8a^8-20a^6+2a^4)/(4a^3)

$\frac{8 a^{8} - 20 a^{6} + 2 a^{4}}{4 a^{3}}$

Factor $2 a^{4}$ out of $8 a^{8} - 20 a^{6} + 2 a^{4}$ .

Factor $2 a^{4}$ out of $8 a^{8}$ .

$\frac{2 a^{4} (4 a^{4}) - 20 a^{6} + 2 a^{4}}{4 a^{3}}$

Factor $2 a^{4}$ out of $- 20 a^{6}$ .

$\frac{2 a^{4} (4 a^{4}) + 2 a^{4} (- 10 a^{2}) + 2 a^{4}}{4 a^{3}}$

Factor $2 a^{4}$ out of $2 a^{4}$ .

$\frac{2 a^{4} (4 a^{4}) + 2 a^{4} (- 10 a^{2}) + 2 a^{4} (1)}{4 a^{3}}$

Factor $2 a^{4}$ out of $2 a^{4} (4 a^{4}) + 2 a^{4} (- 10 a^{2})$ .

$\frac{2 a^{4} (4 a^{4} - 10 a^{2}) + 2 a^{4} (1)}{4 a^{3}}$

Factor $2 a^{4}$ out of $2 a^{4} (4 a^{4} - 10 a^{2}) + 2 a^{4} (1)$ .

$\frac{2 a^{4} (4 a^{4} - 10 a^{2} + 1)}{4 a^{3}}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 a^{4} (4 a^{4} - 10 a^{2} + 1)$ .

$\frac{2 (a^{4} (4 a^{4} - 10 a^{2} + 1))}{4 a^{3}}$

Cancel the common factors.

Factor $2$ out of $4 a^{3}$ .

$\frac{2 (a^{4} (4 a^{4} - 10 a^{2} + 1))}{2 (2 a^{3})}$

Cancel the common factor.

$\frac{2 (a^{4} (4 a^{4} - 10 a^{2} + 1))}{2 (2 a^{3})}$

Rewrite the expression.

$\frac{a^{4} (4 a^{4} - 10 a^{2} + 1)}{2 a^{3}}$

Cancel the common factor of $a^{4}$ and $a^{3}$ .

Factor $a^{3}$ out of $a^{4} (4 a^{4} - 10 a^{2} + 1)$ .

$\frac{a^{3} (a (4 a^{4} - 10 a^{2} + 1))}{2 a^{3}}$

Cancel the common factors.

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

$\frac{a^{3} (a (4 a^{4} - 10 a^{2} + 1))}{a^{3} \cdot 2}$

Cancel the common factor.

$\frac{a^{3} (a (4 a^{4} - 10 a^{2} + 1))}{a^{3} \cdot 2}$

Rewrite the expression.

$\frac{a (4 a^{4} - 10 a^{2} + 1)}{2}$

Apply the distributive property.

$\frac{a (4 a^{4}) + a (- 10 a^{2}) + a \cdot 1}{2}$

Simplify.

Rewrite using the commutative property of multiplication.

$\frac{4 a \cdot a^{4} + a (- 10 a^{2}) + a \cdot 1}{2}$

Rewrite using the commutative property of multiplication.

$\frac{4 a \cdot a^{4} - 10 a \cdot a^{2} + a \cdot 1}{2}$

Multiply $a$ by $1$ .

$\frac{4 a \cdot a^{4} - 10 a \cdot a^{2} + a}{2}$

Simplify each term.

Multiply $a$ by $a^{4}$ by adding the exponents.

Move $a^{4}$ .

$\frac{4 (a^{4} a) - 10 a \cdot a^{2} + a}{2}$

Multiply $a^{4}$ by $a$ .

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

$\frac{4 (a^{4} a^{1}) - 10 a \cdot a^{2} + a}{2}$

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

$\frac{4 a^{4 + 1} - 10 a \cdot a^{2} + a}{2}$

Add $4$ and $1$ .

$\frac{4 a^{5} - 10 a \cdot a^{2} + a}{2}$

Multiply $a$ by $a^{2}$ by adding the exponents.

Move $a^{2}$ .

$\frac{4 a^{5} - 10 (a^{2} a) + a}{2}$

Multiply $a^{2}$ by $a$ .

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

$\frac{4 a^{5} - 10 (a^{2} a^{1}) + a}{2}$

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

$\frac{4 a^{5} - 10 a^{2 + 1} + a}{2}$

Add $2$ and $1$ .

$\frac{4 a^{5} - 10 a^{3} + a}{2}$

Split the fraction $\frac{4 a^{5} - 10 a^{3} + a}{2}$ into two fractions.

$\frac{4 a^{5} - 10 a^{3}}{2} + \frac{a}{2}$

Split the fraction $\frac{4 a^{5} - 10 a^{3}}{2}$ into two fractions.

$\frac{4 a^{5}}{2} + \frac{- 10 a^{3}}{2} + \frac{a}{2}$

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 a^{5}$ .

$\frac{2 (2 a^{5})}{2} + \frac{- 10 a^{3}}{2} + \frac{a}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (2 a^{5})}{2 (1)} + \frac{- 10 a^{3}}{2} + \frac{a}{2}$

Cancel the common factor.

$\frac{2 (2 a^{5})}{2 \cdot 1} + \frac{- 10 a^{3}}{2} + \frac{a}{2}$

Rewrite the expression.

$\frac{2 a^{5}}{1} + \frac{- 10 a^{3}}{2} + \frac{a}{2}$

Divide $2 a^{5}$ by $1$ .

$2 a^{5} + \frac{- 10 a^{3}}{2} + \frac{a}{2}$

Cancel the common factor of $- 10$ and $2$ .

Factor $2$ out of $- 10 a^{3}$ .

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

Cancel the common factors.

Factor $2$ out of $2$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $- 5 a^{3}$ by $1$ .

$2 a^{5} - 5 a^{3} + \frac{a}{2}$

Divide (8a^8-20a^6+2a^4)/(4a^3)

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