Chapter 11.4, Problem 11P

Find the LCM of each pair of expression.

$40x^2{y}^2;8y^2$

To determine

To find the LCM of the pair of expressions.

Answer to Problem 11P

The LCM is $40x^2{y}^2$ .

Explanation of Solution

Given information:

The given expressions are:

  $40x^2{y}^2;8y^2$

Calculation :

The solution can be obtained by:

  $\begin{array}{l}40x^2{y}^2=2\times 2\times 2\times 5\times x\times x\times y\times y\left[\text{Write the factors}\right]\\ 8y^2=2\times 2\times 2\times y\times y\left[\text{Write the factors}\right]\\ \text{LCM}=2\times 2\times 2\times 5\times x\times x\times y\times y=40x^2{y}^2\end{array}$

Hence, the LCM is $40x^2{y}^2$ .