|−4b−8|+|−1−b2|+2b3 ; b=−3
To find the value of the expression for b = -3, we need to substitute -3 into the expression:
|(-4)(-3) - 8| + |(-1) - (-3)^2 | + 2(-3)^3
Simplifying the expression:
|12 - 8| + |(-1) - 9| - 54
|4| + |-10| - 54
4 + 10 - 54
14 - 54
-40
Therefore, the value of the expression for b = -3 is -40.
To evaluate the expression |-4b-8| + |-1-b^2| + 2b^3, substitute b = -3 and simplify step by step:
Step 1: Substitute b = -3 into the expression:
|-4(-3) - 8| + |-1 - (-3)^2| + 2(-3)^3
Step 2: Simplify the expressions inside the absolute value signs:
|12 - 8| + |-1 - 9| + 2(-27)
Step 3: Simplify further:
|4| + |-10| + (-54)
Step 4: Evaluate the absolute values:
4 + 10 + (-54)
Step 5: Add the numbers together:
4 + 10 - 54
Step 6: Perform addition and subtraction:
14 - 54
Step 7: Calculate the final answer:
-40
Therefore, when b = -3, the expression |-4b-8| + |-1-b^2| + 2b^3 evaluates to -40.