Solve 6/1+frac{x{2}}

$$\frac { 6 } { 1 + \frac { x } { 2 } }$$

Evaluate

$$\frac{12}{x+2}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{2}{2}.

$$\frac{6}{\frac{2}{2}+\frac{x}{2}}$$

Since \frac{2}{2} and \frac{x}{2} have the same denominator, add them by adding their numerators.

$$\frac{6}{\frac{2+x}{2}}$$

Divide 6 by \frac{2+x}{2} by multiplying 6 by the reciprocal of \frac{2+x}{2}.

$$\frac{6\times 2}{2+x}$$

Multiply 6 and 2 to get 12.

$$\frac{12}{2+x}$$

Differentiate w.r.t. x

$$-\frac{12}{\left(x+2\right)^{2}}$$