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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Evaluate th
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Evaluate the expression for the given value of the variable.
4b−8|+∣∣−1 − b^2∣∣+ 2b^3; b=−2
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Mathematics
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2021-09-05T10:07:01+00:00
2021-09-05T10:07:01+00:00 1 Answers
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Question: Evaluate the expression for the given value of the variable. | − 4b − 8 | + ∣ − 1 − b² | + 2b³; b = − 2
Answer:
-11
Step-by-step explanation:
What we are required to do here is to find the value of the expression assuming that variable b = -2.
Bear in mind that, where you see the symbol “| … |”, enclosing a set of terms, the absolute value after performing whatever function with the enclosed terms is what is to be found. This means, after performing the operation, if you have a negative value, simply ignore the negative sign.
Now let’s evaluate at b = -2
|- 4b – 8| + ∣-1 – b²| + 2b³ (given)
|- 4(-2) – 8| + ∣-1 – (-2)²| + 2(-2)³ (substitution)
|8 – 8| + ∣-1 – 4| + 2(-8)
|0| + ∣-5| – 16
0 + 5 – 16 (absolute value of -5 = 5)
= -11