Evaluate the expression for the given value of the variable.
|-4b - 8| + |-1 - b^2| + 2b^3; b=-2
We can substitute b=-2 into the expression to evaluate it.
|-4b - 8| + |-1 - b^2| + 2b^3
= |-4(-2) - 8| + |-1 - (-2)^2| + 2(-2)^3
= |8 - 8| + |-1 - 4| + 2(-8)
= |0| + |-5| - 16
= 0 + 5 - 16
= 5 - 16
= -11
Therefore, the value of the expression when b=-2 is -11.
To evaluate the expression |-4b - 8| + |-1 - b^2| + 2b^3 when b is -2, we substitute -2 for b in the expression.
|-4(-2) - 8| + |-1 - (-2)^2| + 2(-2)^3
Simplifying the expression inside the absolute value signs:
|-8 - 8| + |-1 - 4| + 2(-2)^3
|-16| + |-1 - 4| + 2(-2)^3
Taking the absolute value of -16 gives us 16:
16 + |-1 - 4| + 2(-2)^3
|-1 - 4| is equal to |-5| which is 5:
16 + 5 + 2(-2)^3
Finally, simplifying 2(-2)^3:
16 + 5 + 2(-8)
16 + 5 - 16
Combine like terms:
21 - 16
The result is 5.