Q. 34 - Intermediate Algebra

Question

In the following exercises, add the polynomials. 

$\left(4y^2+10y+3\right)+\left(8y^2-6y+5\right)$

Step-by-Step Solution

Answer

The sum of the polynomials is $12y^2+4y+8$

Step 1. Given information

$\begin{array}{l}\text{The given expression is }\\ \left(4y^2+10y+3\right)+\left(8y^2-6y+5\right)\\ \text{We have to add the polynomials.}\end{array}$

Step 2. Add the polynomials

$\begin{array}{l}\Rightarrow \left(4y^2+10y+3\right)+\left(8y^2-6y+5\right)\\ =4y^2+10y+3+8y^2-6y+5\left[\text{Rewrite without the parenthese}\right]\\ =4y^2+8y^2+10y-6y+3+5\left[\text{Combine the like terms}\right]\\ =\left(4+8\right)y^2+\left(10-6\right)y+8\\ =12y^2+4y+8\end{array}$