Chapter 8.1, Problem 43PPS

To determine

To find: The sum or difference $\left(4rxt-8r^{2}x+x^2\right)-\left(6r{x}^2+5rxt-2x^2\right)$

Answer to Problem 43PPS

  $3x^2-rxt-6r{x}^2-8r^{2}x$

Explanation of Solution

Given:

  $\left(4rxt-8r^{2}x+x^2\right)-\left(6r{x}^2+5rxt-2x^2\right)$

Calculation:

The given expression is $\left(4rxt-8r^{2}x+x^2\right)-\left(6r{x}^2+5rxt-2x^2\right)$

Remove all the parenthesis

  $4rxt-8r^{2}x+x^2-6r{x}^2-5rxt+2x^2$

Group the like terms

  $x^2+2x^2-6r{x}^2-5rxt+4rxt-8r^{2}x$

Combine the like terms

  $3x^2-rxt-6r{x}^2-8r^{2}x$