Chapter 8.1, Problem 25P

Simplify.

$\left(g^4-4g^2+11\right)+\left(-g^3+8g\right)$

To determine

To find: The simplified value of the given expression.

Answer to Problem 25P

The simplified value of the given expression is $g^4-g^3-4g^2+11$ .

Explanation of Solution

Given information: The expression given, $(g^4-4g^2+11)+(-g^3+8g)$ .

Calculation:

The expression given, $(g^4-4g^2+11)+(-g^3+8g)$ .

By simplifying the expression,

$\begin{array}{l}(g^4-4g^2+11)+(-g^3+8g)\\ =g^4-4g^2+11-g^3+8g\\ =g^4-g^3-4g^2+11\end{array}$

$\therefore$ The simplified value of the given expression is $g^4-g^3-4g^2+11$ .