# How do you find the product of (t^2)/((t-5)(t+5))*(t+5)/(6t)?

May 22, 2018

$\frac{t}{6 \left(t + 5\right)}$

#### Explanation:

${t}^{2} / \left(\left(t - 5\right) \left(t + 5\right)\right) \times \frac{t + 5}{6 t}$

= $\frac{t \times t}{\left(t - 5\right) \left(t + 5\right)} \times \frac{t + 5}{6 t}$

Cancel out the common numbers ie $t + 5$ and $t$
= $\frac{t}{6 \left(t + 5\right)}$