Solve 3/s-2+4/2-s

$$\frac { 3 } { s - 2 } + \frac { 4 } { 2 - s }$$

Evaluate

$$\frac{1}{2-s}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of s-2 and 2-s is s-2. Multiply \frac{4}{2-s} times \frac{-1}{-1}.

$$\frac{3}{s-2}+\frac{4\left(-1\right)}{s-2}$$

Since \frac{3}{s-2} and \frac{4\left(-1\right)}{s-2} have the same denominator, add them by adding their numerators.

$$\frac{3+4\left(-1\right)}{s-2}$$

Do the multiplications in 3+4\left(-1\right).

$$\frac{3-4}{s-2}$$

Do the calculations in 3-4.

$$\frac{-1}{s-2}$$

Differentiate w.r.t. s

$$\frac{1}{\left(2-s\right)^{2}}$$