Solve 2/tr^2+1/t^2r

$$\frac { 2 } { t r ^ { 2 } } + \frac { 1 } { t ^ { 2 } r }$$

Evaluate

$$\frac{r+2t}{\left(rt\right)^{2}}$$

Solution Steps

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

$$\frac{2t}{r^{2}t^{2}}+\frac{r}{r^{2}t^{2}}$$

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

$$\frac{2t+r}{r^{2}t^{2}}$$

Factor

$$\frac{r+2t}{\left(rt\right)^{2}}$$