Question

In the following exercises, add or subtract the monomials.

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

Short answer

The required result is

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

Step-by-step solution

Step 1. Given information

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

Step 2. Solving part (a)

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow 12a+5b-22a=12a-22a+5b\left[\text{Combinetheliketerms}\right]\\ =\left(12-22\right)a+5b\\ =-10a+5b\end{array}$

Step 3. Solving part (b)

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow p{q}^2-4p-3q^2=p{q}^2-4p-3q^2\left[\text{Therearenoliketerms}\right]\end{array}$