Solve x/x+3-1

$$\frac { x } { x + 3 } - 1$$

Evaluate

$$-\frac{3}{x+3}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{x+3}{x+3}.

$$\frac{x}{x+3}-\frac{x+3}{x+3}$$

Since \frac{x}{x+3} and \frac{x+3}{x+3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x-\left(x+3\right)}{x+3}$$

Do the multiplications in x-\left(x+3\right).

$$\frac{x-x-3}{x+3}$$

Combine like terms in x-x-3.

$$\frac{-3}{x+3}$$

Differentiate w.r.t. x

$$\frac{3}{\left(x+3\right)^{2}}$$