Chapter 8.1, Problem 41PPS

To determine

To find: The sum or difference $\left(-8xy+3x^2-5y\right)+\left(4x^2-2y+6xy\right)$

Answer to Problem 41PPS

  $7x^2-2xy-7y$

Explanation of Solution

Given:

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

Calculation:

The given expression is $\left(-8xy+3x^2-5y\right)+\left(4x^2-2y+6xy\right)$

Remove all the parenthesis

  $-8xy+3x^2-5y+4x^2-2y+6xy$

Group the like terms

  $3x^2+4x^2+6xy-8xy-5y-2y$

Combine the like terms

  $7x^2-2xy-7y$