Chapter 11.6, Problem 43PPS

To determine

To find: the given difference

Answer to Problem 43PPS

Therefore, the simplified expression is $\frac{18-10t}{15t^2}$

Explanation of Solution

Given:

  $\frac{6}{5t^2}-\frac{2}{3t}$

Calculation:

The objective is to perform the operation.

The operation is performed below.

  $\begin{array}{l}\frac{6}{5t^2}-\frac{2}{3t}\\ =\frac{6}{5t^2}\left(\frac{3}{3}\right)-\frac{2}{3t}\left(\frac{5t}{5t}\right)\\ =\frac{18-10t}{15t^2}\end{array}$

Conclusion:

Therefore, the simplified expression is $\frac{18-10t}{15t^2}$