Solve x^2+7x+6divx+6

$${ x }^{ 2 } +7x+6 \div x+6$$

Evaluate

$$x^{2}+7x+6+\frac{6}{x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2}+7x+6 times \frac{x}{x}.

$$\frac{\left(x^{2}+7x+6\right)x}{x}+\frac{6}{x}$$

Since \frac{\left(x^{2}+7x+6\right)x}{x} and \frac{6}{x} have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{2}+7x+6\right)x+6}{x}$$

Do the multiplications in \left(x^{2}+7x+6\right)x+6.

$$\frac{x^{3}+7x^{2}+6x+6}{x}$$

Factor

$$\frac{x^{3}+7x^{2}+6x+6}{x}$$