Q. 19 - Intermediate Algebra

Question

In the following exercises, add or subtract the monomials. 

$\begin{array}{l}\left(a\right)12a+5b-22a\\ \left(b\right)p{q}^2-4p-3q^2\end{array}$

Step-by-Step Solution

Answer

The required result is

$\begin{array}{l}a)-10a+5b\\ b)p{q}^2-4p-3q^2\end{array}$

Step 1. Given information

$\begin{array}{l}\text{The given expression is}\\ \left(a\right)12a+5b-22a\\ \left(b\right)p{q}^2-4p-3q^2\\ \text{We have to add or subtract as applicable.}\end{array}$

Step 2. Solving part (a)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow 12a+5b-22a=12a-22a+5b\left[\text{Combine the like terms}\right]\\ =\left(12-22\right)a+5b\\ =-10a+5b\end{array}$

Step 3. Solving part (b)

$\begin{array}{l}\text{Consider the given expression}\\ \Rightarrow p{q}^2-4p-3q^2=p{q}^2-4p-3q^2\left[\text{There are no like terms}\right]\end{array}$