Q. 23 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$\begin{array}{l}\left(a\right)x{y}^2-5x-5y^2\\ \left(b\right)19y+5z\end{array}$

Step-by-Step Solution

Answer

The required result is

$\begin{array}{l}a)x{y}^2-5x-5y^2\\ b)19y+5z\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ \left(a\right)x{y}^2-5x-5y^2\\ \left(b\right)19y+5z\\ \text{We have to add or subtract as applicable.}\end{array}$

Step 2. Solving part (a)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow x{y}^2-5x-5y^2\\ \left[\text{There are no like terms}\right]\\ \text{Thus,}\\ \text{After adding or subtracting the expression will remain the same}\end{array}$

Step 3. Solving for part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 19y+5z\\ \left[\text{There are no like terms}\right]\\ \text{Thus,}\\ \text{After adding or subtracting the expression will remain the same.}\end{array}$