Chapter 8.1, Problem 39PPE

To determine

To simplify $\left(14h^4+3h^3\right)-\left(9h^4+2h^3\right)$

Answer to Problem 39PPE

  $\left(14h^4+3h^3\right)-\left(9h^4+2h^3\right)=5h^4+h^3$

Explanation of Solution

Given:

  $\left(14h^4+3h^3\right)-\left(9h^4+2h^3\right)$

Calculation:

  $\begin{array}{l}\left(14h^4+3h^3\right)-\left(9h^4+2h^3\right)=14h^4+3h^3-9h^4-2h^3\\ =\left(14h^4-9h^4\right)+\left(3h^3-2h^3\right)\\ =5h^4+h^3\end{array}$