Solve (16v^3+32v^2+3v)div8v

$$( 16 v ^ { 3 } + 32 v ^ { 2 } + 3 v ) \div 8 v$$

Evaluate

$$2v^{4}+4v^{3}+\frac{3v^{2}}{8}$$

Solution Steps

Express \frac{16v^{3}+32v^{2}+3v}{8}v as a single fraction.

$$\frac{\left(16v^{3}+32v^{2}+3v\right)v}{8}$$

Use the distributive property to multiply 16v^{3}+32v^{2}+3v by v.

$$\frac{16v^{4}+32v^{3}+3v^{2}}{8}$$

Expand

$$2v^{4}+4v^{3}+\frac{3v^{2}}{8}$$

Solution Steps

Express \frac{16v^{3}+32v^{2}+3v}{8}v as a single fraction.

$$\frac{\left(16v^{3}+32v^{2}+3v\right)v}{8}$$

Use the distributive property to multiply 16v^{3}+32v^{2}+3v by v.

$$\frac{16v^{4}+32v^{3}+3v^{2}}{8}$$