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Evaluate the expression for the given value of the variable.
|−4b−8|+∣∣−1−b2∣∣+2b^3 ; b=−2
To evaluate the expression |−4b−8|+∣∣−1−b2∣∣+2b^3 when b = −2, we substitute −2 for b in the expression.
First, let's find the value of |−4b−8| when b = −2:
|−4(−2)−8|
= |8−8|
= |0|
= 0
Next, let's find the value of ∣∣−1−b2∣∣ when b = −2:
∣∣−1−(−2)2∣∣
= ∣∣−1−4∣∣
= ∣∣−5∣∣
= 5
Finally, let's find the value of 2b^3 when b = −2:
2(−2)^3
= 2(−8)
= −16
Now, let's substitute the given values into the original expression and evaluate:
|−4b−8|+∣∣−1−b2∣∣+2b^3
= 0 + 5 + (−16)
= 0 + 5 − 16
= 5 − 16
= −11
Therefore, when b = −2, the value of the expression |−4b−8|+∣∣−1−b2∣∣+2b^3 is −11.