Solve d/d+8-1

$$\frac { d } { d + 8 } - 1$$

Evaluate

$$-\frac{8}{d+8}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{d+8}{d+8}.

$$\frac{d}{d+8}-\frac{d+8}{d+8}$$

Since \frac{d}{d+8} and \frac{d+8}{d+8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{d-\left(d+8\right)}{d+8}$$

Do the multiplications in d-\left(d+8\right).

$$\frac{d-d-8}{d+8}$$

Combine like terms in d-d-8.

$$\frac{-8}{d+8}$$

Differentiate w.r.t. d

$$\frac{8}{\left(d+8\right)^{2}}$$