Solve x^2+5x+6divx^2+5

$${ x }^{ 2 } +5x+6 \div { x }^{ 2 } +5$$

Evaluate

$$x^{2}+5x+5+\frac{6}{x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2}+5x+5 times \frac{x^{2}}{x^{2}}.

$$\frac{\left(x^{2}+5x+5\right)x^{2}}{x^{2}}+\frac{6}{x^{2}}$$

Since \frac{\left(x^{2}+5x+5\right)x^{2}}{x^{2}} and \frac{6}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{2}+5x+5\right)x^{2}+6}{x^{2}}$$

Do the multiplications in \left(x^{2}+5x+5\right)x^{2}+6.

$$\frac{x^{4}+5x^{3}+5x^{2}+6}{x^{2}}$$

Factor

$$\frac{x^{4}+5x^{3}+5x^{2}+6}{x^{2}}$$