Chapter 8.1, Problem 4GP

To determine

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

Answer to Problem 4GP

  $6x^3-4x^2+6x-2$

Explanation of Solution

Given:

  $\left(4x^3-3x^2+6x-4\right)-\left(-2x^3+x^2-2\right)$

Calculation:

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

Remove the parenthesis

  $4x^3-3x^2+6x-4+2x^3-x^2+2$

Group the like terms

  $4x^3+2x^3-3x^2-x^2+6x-4+2$

Combine the like terms

  $6x^3-4x^2+6x-2$