Question

In the following exercises, add the polynomials.

$\left(-5x^2-4xy-3y^2\right)+\left(2x^2-7xy\right)$

Short answer

Hence,

$\left(-5x^2-4xy-3y^2\right)+\left(2x^2-7xy\right)=-3x^2-11xy-3y^2$

Step-by-step solution

Step 1. Given information

$\begin{array}{l}\text{Thegivenexpressionsis}\\ \left(-5x^2-4xy-3y^2\right)+\left(2x^2-7xy\right)\\ \text{Wehavetofindthesum.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(-5x^2-4xy-3y^2\right)+\left(2x^2-7xy\right)\\ =-5x^2-4xy-3y^2\text{+}2x^2-7xy\left[\text{Rewritewithoutparentheses}\right]\\ =-5x^2\text{+}2x^2-4xy-7xy-3y^2\left[\text{Combinetheliketerms}\right]\\ =-3x^2-11xy-3y^2\left[\text{Simplify}\right]\end{array}$