Question

In the following exercises, add or subtract the monomials.

$12a+5b-22a+p{q}^2-4p-3q^2$

Short answer

The required result is$12a+5b-22a+p{q}^2-4p-3q^2=-10a+5b+p{q}^2-4p-3q^2$

Step-by-step solution

Step 1. Given information

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

Step 2. Simplify

$\begin{array}{l}\text{Considerthegivenexpression}\\ \Rightarrow 12a+5b-22a+p{q}^2-4p-3q^2\\ =12a-22a+5b+p{q}^2-4p-3q^2\left[\text{Combinetheliketerms}\right]\\ =\left(12-22\right)a+5b+p{q}^2-4p-3q^2\left[\text{Simplify}\right]\\ =-10a+5b+p{q}^2-4p-3q^2\end{array}$