Solve 2x^2+4x+1/2x

$$2 { x }^{ 2 } +4x+ \frac{ 1 }{ 2x }$$

Evaluate

$$2x^{2}+4x+\frac{1}{2x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2x^{2}+4x times \frac{2x}{2x}.

$$\frac{\left(2x^{2}+4x\right)\times 2x}{2x}+\frac{1}{2x}$$

Since \frac{\left(2x^{2}+4x\right)\times 2x}{2x} and \frac{1}{2x} have the same denominator, add them by adding their numerators.

$$\frac{\left(2x^{2}+4x\right)\times 2x+1}{2x}$$

Do the multiplications in \left(2x^{2}+4x\right)\times 2x+1.

$$\frac{4x^{3}+8x^{2}+1}{2x}$$

Factor

$$\frac{4x^{3}+8x^{2}+1}{2x}$$