Solve t^10/t-3-5/4t-12

$$\frac { t ^ { 10 } } { t - 3 } - \frac { 5 } { 4 t - 12 }$$

Evaluate

$$\frac{4t^{10}-5}{4\left(t-3\right)}$$

Short Solution Steps

Factor 4t-12.

$$\frac{t^{10}}{t-3}-\frac{5}{4\left(t-3\right)}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of t-3 and 4\left(t-3\right) is 4\left(t-3\right). Multiply \frac{t^{10}}{t-3} times \frac{4}{4}.

$$\frac{4t^{10}}{4\left(t-3\right)}-\frac{5}{4\left(t-3\right)}$$

Since \frac{4t^{10}}{4\left(t-3\right)} and \frac{5}{4\left(t-3\right)} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4t^{10}-5}{4\left(t-3\right)}$$

Expand 4\left(t-3\right).

$$\frac{4t^{10}-5}{4t-12}$$

Factor

$$\frac{4t^{10}-5}{4\left(t-3\right)}$$