Solve 2t/a^2-1/t

$$\frac { 2 t } { a ^ { 2 } } - \frac { 1 } { t }$$

Evaluate

$$\frac{2t}{a^{2}}-\frac{1}{t}$$

Short Solution Steps

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

$$\frac{2tt}{ta^{2}}-\frac{a^{2}}{ta^{2}}$$

Since \frac{2tt}{ta^{2}} and \frac{a^{2}}{ta^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2tt-a^{2}}{ta^{2}}$$

Do the multiplications in 2tt-a^{2}.

$$\frac{2t^{2}-a^{2}}{ta^{2}}$$

Factor

$$\frac{\frac{2t^{2}}{a^{2}}-1}{t}$$