Chapter 11.5, Problem 56MR

To determine

The sum of $\frac{5}{x^2{y}^{2}z}-\frac{8}{x^2{y}^{2}z}$

Answer to Problem 56MR

  $=-\frac{3}{x^2{y}^{2}z}$

Explanation of Solution

Given:

Given equation

  $\frac{5}{x^2{y}^{2}z}-\frac{8}{x^2{y}^{2}z}$

Concept Used:

• Take LCD of the given equation.
• Then subtract their numerator.

Calculation:

In order to solve the equation $\frac{5}{x^2{y}^{2}z}-\frac{8}{x^2{y}^{2}z}$ , Simplify the equation as shown below.

  $\begin{array}{c}=\frac{5}{x^2{y}^{2}z}-\frac{8}{x^2{y}^{2}z}\\ =\frac{5-8}{x^2{y}^{2}z}\\ =-\frac{3}{x^2{y}^{2}z}\\ \end{array}$

Thus, sum $=-\frac{3}{x^2{y}^{2}z}$