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Evaluate the expression for the given value of the variable.

|−4b−8|+|−1−b2|+2b3 ; b=−3

1 answer

To evaluate the expression, we substitute b = -3 into the expression:

|-4(-3) - 8| + |-1 - (-3)^2| + 2(-3)^3

Simplifying the exponent and multiplication first:

|-12 - 8| + |-1 - 9| + 2(-27)

|-20| + |-10| + -54

Since absolute value is always positive, we can remove the absolute value symbols:

20 + 10 + (-54)

Next, we can add the numbers together:

30 + (-54)

Finally, we can simplify the addition:

= -24