Solve f(x)=x+4/x^2*2x

$$f ( x ) = x + \frac { 4 } { x ^ { 2 } } \cdot 2 x$$

Evaluate

$$x+\frac{8}{x}$$

Short Solution Steps

Express \frac{4}{x^{2}}\times 2 as a single fraction.

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

Express \frac{4\times 2}{x^{2}}x as a single fraction.

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

Cancel out x in both numerator and denominator.

$$x+\frac{2\times 4}{x}$$

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

$$\frac{xx}{x}+\frac{2\times 4}{x}$$

Since \frac{xx}{x} and \frac{2\times 4}{x} have the same denominator, add them by adding their numerators.

$$\frac{xx+2\times 4}{x}$$

Do the multiplications in xx+2\times 4.

$$\frac{x^{2}+8}{x}$$

Factor

$$\frac{x^{2}+8}{x}$$