Question

In the following exercises, add the polynomials.

$\left(7m^2+mn-8n^2\right)+\left(3m^2+2mn\right)$

Short answer

Hence,

$\left(7m^2+mn-8n^2\right)+\left(3m^2+2mn\right)=10m^2+3mn-8n^2$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionsis}\\ \left(7m^2+mn-8n^2\right)+\left(3m^2+2mn\right)\\ \text{Wehavetofindthesumofthepolynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(7m^2+mn-8n^2\right)+\left(3m^2+2mn\right)\\ =7m^2+mn-8n^2+3m^2+2mn\left[\text{Rewritewithoutparentheses}\right]\\ =7m^2+3m^2+mn+2mn-8n^2\left[\text{Combinetheliketerms}\right]\\ =10m^2+3mn-8n^2\left[\text{Simplify}\right]\end{array}$