Solve 11/c-6+8/6-c

$$\frac { 11 } { c - 6 } + \frac { 8 } { 6 - c }$$

Evaluate

$$\frac{3}{c-6}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of c-6 and 6-c is c-6. Multiply \frac{8}{6-c} times \frac{-1}{-1}.

$$\frac{11}{c-6}+\frac{8\left(-1\right)}{c-6}$$

Since \frac{11}{c-6} and \frac{8\left(-1\right)}{c-6} have the same denominator, add them by adding their numerators.

$$\frac{11+8\left(-1\right)}{c-6}$$

Do the multiplications in 11+8\left(-1\right).

$$\frac{11-8}{c-6}$$

Do the calculations in 11-8.

$$\frac{3}{c-6}$$

Differentiate w.r.t. c

$$-\frac{3}{\left(c-6\right)^{2}}$$