Solve f(x)=x+3+3x+1/x^2

$$f ( x ) = x + 3 + \frac { 3 x + 1 } { x ^ { 2 } }$$

Evaluate

$$\frac{\left(x+1\right)^{3}}{x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x+3 times \frac{x^{2}}{x^{2}}.

$$\frac{\left(x+3\right)x^{2}}{x^{2}}+\frac{3x+1}{x^{2}}$$

Since \frac{\left(x+3\right)x^{2}}{x^{2}} and \frac{3x+1}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{\left(x+3\right)x^{2}+3x+1}{x^{2}}$$

Do the multiplications in \left(x+3\right)x^{2}+3x+1.

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

Expand

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

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x+3 times \frac{x^{2}}{x^{2}}.

$$\frac{\left(x+3\right)x^{2}}{x^{2}}+\frac{3x+1}{x^{2}}$$

Since \frac{\left(x+3\right)x^{2}}{x^{2}} and \frac{3x+1}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{\left(x+3\right)x^{2}+3x+1}{x^{2}}$$

Do the multiplications in \left(x+3\right)x^{2}+3x+1.

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