Solve 300/x-300/x+10

$$\frac { 300 } { x } - \frac { 300 } { x + 10 }$$

Evaluate

$$\frac{3000}{x\left(x+10\right)}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x+10 is x\left(x+10\right). Multiply \frac{300}{x} times \frac{x+10}{x+10}. Multiply \frac{300}{x+10} times \frac{x}{x}.

$$\frac{300\left(x+10\right)}{x\left(x+10\right)}-\frac{300x}{x\left(x+10\right)}$$

Since \frac{300\left(x+10\right)}{x\left(x+10\right)} and \frac{300x}{x\left(x+10\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{300\left(x+10\right)-300x}{x\left(x+10\right)}$$

Do the multiplications in 300\left(x+10\right)-300x.

$$\frac{300x+3000-300x}{x\left(x+10\right)}$$

Combine like terms in 300x+3000-300x.

$$\frac{3000}{x\left(x+10\right)}$$

Expand x\left(x+10\right).

$$\frac{3000}{x^{2}+10x}$$

Factor

$$\frac{3000}{x\left(x+10\right)}$$