Question

Evaluate the expression of the given value of the variable. Show all work.|-4b-8| + |-1-b^2| + 2b^3b = -2

Answer 1

In order to evaluate the expression, let's use the given value of b and calculate the final value of the expression:

$\begin{gathered} |-4b-8|+|-1-b^2|+2b^3\\ \\ =|-4\cdot(-2)-8|+|-1-(-2)^2|+2\cdot(-2)^3\\ \\ =|8-8|+|-1-4|+2\cdot(-8)\\ \\ =|0|+|-5|-16\\ \\ =5-16\\ \\ =-11 \end{gathered}$

Therefore the value of the expression is -11.