Chapter 8.1, Problem 42PPS

To determine

To find: The sum or difference $\left(5n-2p^2+2np\right)-\left(4p^2+4n\right)$

Answer to Problem 42PPS

  $-6p^2+2np+n$

Explanation of Solution

Given:

  $\left(5n-2p^2+2np\right)-\left(4p^2+4n\right)$

Calculation:

The given expression is $\left(5n-2p^2+2np\right)-\left(4p^2+4n\right)$

Remove all the parenthesis

  $5n-2p^2+2np-4p^2-4n$

Group the like terms

  $-2p^2-4p^2+2np-4n+5n$

Combine the like terms

  $-6p^2+2np+n$