Solve x^2-7x+81divx-2

$${ x }^{ 2 } -7x+81 \div x-2$$

Evaluate

$$x^{2}-7x-2+\frac{81}{x}$$

Short Solution Steps

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

$$\frac{\left(x^{2}-7x-2\right)x}{x}+\frac{81}{x}$$

Since \frac{\left(x^{2}-7x-2\right)x}{x} and \frac{81}{x} have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{2}-7x-2\right)x+81}{x}$$

Do the multiplications in \left(x^{2}-7x-2\right)x+81.

$$\frac{x^{3}-7x^{2}-2x+81}{x}$$

Factor

$$\frac{x^{3}-7x^{2}-2x+81}{x}$$