Question

In the following exercises, add or subtract the monomials.

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

Short answer

The required result is

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

Step-by-step solution

Step 1. Given information

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

Step 2. Solving part (a)

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow x{y}^2-5x-5y^2\\ \left[\text{Therearenoliketerms}\right]\\ \text{Thus,}\\ \text{Afteraddingorsubtractingtheexpressionwillremainthesame}\end{array}$

Step 3. Solving for part (b)

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow 19y+5z\\ \left[\text{Therearenoliketerms}\right]\\ \text{Thus,}\\ \text{Afteraddingorsubtractingtheexpressionwillremainthesame.}\end{array}$