Chapter 4.2, Problem 33OE

To determine

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

Answer to Problem 33OE

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

Explanation of Solution

Given information:

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

Calculation:

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

(Distributive property)

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

(Simplify)