Solve (2n^3+20n^2+n)div10n^2

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

Evaluate

$$\frac{\left(2n^{2}+20n+1\right)n^{3}}{10}$$

Solution Steps

Express \frac{2n^{3}+20n^{2}+n}{10}n^{2} as a single fraction.

$$\frac{\left(2n^{3}+20n^{2}+n\right)n^{2}}{10}$$

Use the distributive property to multiply 2n^{3}+20n^{2}+n by n^{2}.

$$\frac{2n^{5}+20n^{4}+n^{3}}{10}$$

Expand

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

Solution Steps

Express \frac{2n^{3}+20n^{2}+n}{10}n^{2} as a single fraction.

$$\frac{\left(2n^{3}+20n^{2}+n\right)n^{2}}{10}$$

Use the distributive property to multiply 2n^{3}+20n^{2}+n by n^{2}.

$$\frac{2n^{5}+20n^{4}+n^{3}}{10}$$