Chapter 4.8, Problem 41STP

To determine

The simplified form of the given expression.

Answer to Problem 41STP

  $21{\mathrm{x}}^5-3{\mathrm{x}}^5+3{\mathrm{x}}^2+4$

Explanation of Solution

Given:

The given expression is:

  $17{\mathrm{x}}^5+3{\mathrm{x}}^2+2-\left(-4{\mathrm{x}}^5+3{\mathrm{x}}^3-2\right)$

Calculation:

The simplified form of the given expression will be:

  $\begin{array}{l}=17{\mathrm{x}}^5+3{\mathrm{x}}^2+2-\left(-4{\mathrm{x}}^5+3{\mathrm{x}}^3-2\right)\\ =17{\mathrm{x}}^5+3{\mathrm{x}}^2+2+4{\mathrm{x}}^5-3{\mathrm{x}}^3+2\\ =21{\mathrm{x}}^5-3{\mathrm{x}}^5+3{\mathrm{x}}^2+4\end{array}$