Question

In the following exercises, add the polynomials.

$\left(7x^2-2xy+6y^2\right)+\left(3x^2-5xy\right)$

Short answer

Hence,$\left(7x^2-2xy+6y^2\right)+\left(3x^2-5xy\right)=10x^2-7xy+6y^2$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionsis}\\ \left(7x^2-2xy+6y^2\right)+\left(3x^2-5xy\right)\\ \text{Wehavetofindthesum.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(7x^2-2xy+6y^2\right)+\left(3x^2-5xy\right)\\ =7x^2-2xy+6y^2\text{+}3x^2-5xy\left[\text{Rewritewithoutparentheses}\right]\\ =7x^2\text{+}3x^2-2xy-5xy+6y^2\left[\text{Combinetheliketerms}\right]\\ =10x^2-7xy+6y^2\left[\text{Simplify}\right]\end{array}$