Evaluate the expression for the given value of the variable.
`|-4b-8|+|-1-b^{2}|+2b^{3},\ b=3`
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First, substitute the value of b into the expression:
|-4(3) - 8| + |-1 - 3^(2)| + 2(3)^(3)
Now simplify the expression inside the absolute value signs:
|-12 - 8| + |-1 - 9| + 54
Combine like terms inside the absolute value signs:
|-20| + |-10| + 54
Now simplify the absolute values:
20 + 10 + 54
Combine like terms:
84 + 54
Finally, add:
138
Therefore, the expression |-4b-8|+|-1-b^{2}|+2b^{3}, when b = 3, equals 138.