Chapter A, Problem 9E

To determine

To rewrite: The expression without the absolute value symbol.

Answer to Problem 9E

The equivalent form of the given expression is $x^2+1$.

Explanation of Solution

Given:

The expression is $\left|x^2+1\right|$.

Calculation:

The expression $x^2+1>0\text{ for all values of }x$.

So, the expression is,

$\left|x^2+1\right|=x^2+1$

Hence, the equivalent form of the given expression is $x^2+1$.