Question

$\text{Add: (a)}3m^2+n^2-7m^2\text{(b)}p{q}^2-6p-5q^2\text{.}$

Short answer

The result will be

$\begin{array}{l}a)-4m^2+n^2\\ b)p{q}^2-6p-5q^2\end{array}$

Step-by-step solution

Step 1. Given information 

$\begin{array}{l}\text{Thegivenpolynomialsare}\\ \text{(a)}3m^2+n^2-7m^2\text{(b)}p{q}^2-6p-5q^2\text{.}\\ \text{Wehavetoaddtheterms}\end{array}$

Step 2. Solve part (a) 

$\begin{array}{l}\text{Wehave(a)}3m^2+n^2-7m^2\text{.}\\ \text{Combinetheliketerms}\\ \Rightarrow 3m^2+n^2-7m^2=\left(3-7\right)m^2+n^2\\ =-4m^2+n^2\end{array}$

Step 3. Solve part (b) 

$\begin{array}{l}\text{Wehave(b)}p{q}^2-6p-5q^2\text{.}\\ \text{Combinetheliketerms}\\ \Rightarrow p{q}^2-6p-5q^2=p{q}^2-6p-5q^2\left[\text{Therearenoliketerms}\right]\end{array}$