Question

adding and subtracting rational expressions

(6)/(x^2--8x) - (3)/(x)

Answer 1

Adding and subtracting rational expressions $\frac{6}{x^2 - 8x} - \frac{3}{x}$

**Solution:**

$$\frac{6}{x^2 - 8x} - \frac{3}{x} = \frac{6}{x(x - 8)} - \frac{3}{x} = \frac{6}{x(x - 8)} - \frac{3(x - 8)}{x(x - 8)} = \frac{6 - 3x + 24}{x(x - 8)} = \frac{30 - 3x}{x(x - 8)}$$

**Answer:** $\frac{30 - 3x}{x(x - 8)}$