Chapter 4.2, Problem 24OE

To determine

To add: the polynomials $\underset{\_}{\begin{array}{l}1-2y+3y^2\\ 3-2y+y^2\end{array}}$

Answer to Problem 24OE

The required answer is: $4-4y+4y^2$

Explanation of Solution

Given information:

The given polynomials: $\underset{\_}{\begin{array}{l}1-2y+3y^2\\ 3-2y+y^2\end{array}}$

Calculation:

  $\begin{array}{l}\underset{\_}{\begin{array}{l}1-2y+3y^2\\ 3-2y+y^2\end{array}}\\ 1+3+(-2-2)y+(3+1)y^2\end{array}$

(Distributive property)

  $\begin{array}{l}\underset{\_}{\begin{array}{l}1-2y+3y^2\\ 3-2y+y^2\end{array}}\\ 4-4y+4y^2\end{array}$

(Simplify)