Solve 2x^2+10000x/x^2

$$2 { x }^{ 2 } + \frac{ 10000x }{ { x }^{ 2 } }$$

Evaluate

$$\frac{2\left(x^{3}+5000\right)}{x}$$

Short Solution Steps

Cancel out x in both numerator and denominator.

$$2x^{2}+\frac{10000}{x}$$

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

$$\frac{2x^{2}x}{x}+\frac{10000}{x}$$

Since \frac{2x^{2}x}{x} and \frac{10000}{x} have the same denominator, add them by adding their numerators.

$$\frac{2x^{2}x+10000}{x}$$

Do the multiplications in 2x^{2}x+10000.

$$\frac{2x^{3}+10000}{x}$$

Factor

$$\frac{2\left(x^{3}+5000\right)}{x}$$