Divide (2n^3+20n^2+n)÷10n^2

$(2 n^{3} + 20 n^{2} + n) \div 10 n^{2}$

Rewrite the division as a fraction.

$\frac{2 n^{3} + 20 n^{2} + n}{10 n^{2}}$

Factor $n$ out of $2 n^{3} + 20 n^{2} + n$ .

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

$\frac{n (2 n^{2}) + 20 n^{2} + n}{10 n^{2}}$

Factor $n$ out of $20 n^{2}$ .

$\frac{n (2 n^{2}) + n (20 n) + n}{10 n^{2}}$

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

$\frac{n (2 n^{2}) + n (20 n) + n^{1}}{10 n^{2}}$

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

$\frac{n (2 n^{2}) + n (20 n) + n \cdot 1}{10 n^{2}}$

Factor $n$ out of $n (2 n^{2}) + n (20 n)$ .

$\frac{n (2 n^{2} + 20 n) + n \cdot 1}{10 n^{2}}$

Factor $n$ out of $n (2 n^{2} + 20 n) + n \cdot 1$ .

$\frac{n (2 n^{2} + 20 n + 1)}{10 n^{2}}$

Cancel the common factors.

Factor $n$ out of $10 n^{2}$ .

$\frac{n (2 n^{2} + 20 n + 1)}{n (10 n)}$

Cancel the common factor.

$\frac{n (2 n^{2} + 20 n + 1)}{n (10 n)}$

Rewrite the expression.

$\frac{2 n^{2} + 20 n + 1}{10 n}$

Split the fraction $\frac{2 n^{2} + 20 n + 1}{10 n}$ into two fractions.

$\frac{2 n^{2} + 20 n}{10 n} + \frac{1}{10 n}$

Split the fraction $\frac{2 n^{2} + 20 n}{10 n}$ into two fractions.

$\frac{2 n^{2}}{10 n} + \frac{20 n}{10 n} + \frac{1}{10 n}$

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

Factor $2$ out of $2 n^{2}$ .

$\frac{2 (n^{2})}{10 n} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Cancel the common factors.

Factor $2$ out of $10 n$ .

$\frac{2 (n^{2})}{2 (5 n)} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Cancel the common factor.

$\frac{2 n^{2}}{2 (5 n)} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Rewrite the expression.

$\frac{n^{2}}{5 n} + \frac{20 n}{10 n} + \frac{1}{10 n}$

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

Factor $n$ out of $n^{2}$ .

$\frac{n \cdot n}{5 n} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Cancel the common factors.

Factor $n$ out of $5 n$ .

$\frac{n \cdot n}{n \cdot 5} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Cancel the common factor.

$\frac{n \cdot n}{n \cdot 5} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Rewrite the expression.

$\frac{n}{5} + \frac{20 n}{10 n} + \frac{1}{10 n}$

Cancel the common factor of $20$ and $10$ .

Factor $10$ out of $20 n$ .

$\frac{n}{5} + \frac{10 (2 n)}{10 n} + \frac{1}{10 n}$

Cancel the common factors.

Factor $10$ out of $10 n$ .

$\frac{n}{5} + \frac{10 (2 n)}{10 (n)} + \frac{1}{10 n}$

Cancel the common factor.

$\frac{n}{5} + \frac{10 (2 n)}{10 n} + \frac{1}{10 n}$

Rewrite the expression.

$\frac{n}{5} + \frac{2 n}{n} + \frac{1}{10 n}$

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n}{5} + \frac{2 n}{n} + \frac{1}{10 n}$

Divide $2$ by $1$ .

$\frac{n}{5} + 2 + \frac{1}{10 n}$

Divide (2n^3+20n^2+n)÷10n^2

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