Chapter 11.6, Problem 5CYU

To determine

To find: the LCM of each pair of polynomials.

Answer to Problem 5CYU

The LCM of the polynomials is $24t^2$ .

Explanation of Solution

Given:

  $\frac{7}{5t}-\frac{3+t}{5t}$

Calculation:

The polynomials are as follows.

  $3t,8t^2$

The objective is to find the LCM of the pairs of polynomials.

The prime factors of each expression are wriiten below.

  $\begin{array}{l}3t=3.t\\ 8t^2=2\cdot 2\cdot 2\cdot t\cdot t\end{array}$

Now, the LCm of the polynomials are calculated below.

  $\begin{array}{l}LCM=2\cdot 2\cdot 2\cdot 3\cdot t\cdot t\\ =24t^2\end{array}$

Conclusion:

Therefore, the LCM of the polynomials is $24t^2$ .