Solve a^2-a-6diva-3

$$a ^ { 2 } - a - 6 \div a - 3$$

Evaluate

$$a^{2}-a-3-\frac{6}{a}$$

Short Solution Steps

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

$$\frac{\left(a^{2}-a-3\right)a}{a}-\frac{6}{a}$$

Since \frac{\left(a^{2}-a-3\right)a}{a} and \frac{6}{a} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(a^{2}-a-3\right)a-6}{a}$$

Do the multiplications in \left(a^{2}-a-3\right)a-6.

$$\frac{a^{3}-a^{2}-3a-6}{a}$$

Factor

$$\frac{a^{3}-a^{2}-3a-6}{a}$$