Evaluate the expression for the given value of the variable.
`|-4b-8|+|-1-b^{2}|+2b^{3},\ b=3`
show all work
We substitute `b=3` into the expression:
`|-4(3)-8|+|-1-(3)^{2}|+2(3)^{3}`
Simplifying inside the absolute value expressions:
`|-12-8|+|-1-9|+54`
Simplifying inside the absolute value expressions again:
`|-20|+|-10|+54`
Taking the absolute value of `-20` and `-10`:
`20+10+54`
Adding the numbers:
`84`
Therefore, for `b=3`, the expression evaluates to `84`.