Question

|−4b−8|+|−1−b^2|+2b^3, b=3

Answer 1

84

Explanation:

To evaluate the expression |−4b−8|+|−1−b^2|+2b^3 when b = 3, substitute the value of b into the expression and calculate:

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

Now, perform the calculations step by step:

|-4(3) - 8| = |-12 - 8| = |-20| = 20 (because the absolute value of -20 is 20).

|-1 - (3^2)| = |-1 - 9| = |-10| = 10 (because the absolute value of -10 is 10).

2(3^3) = 2(27) = 54 (because 3^3 is 27, and then multiply by 2).

Now, add these results together:

20 + 10 + 54 = 84

So, when b = 3, the expression |−4b−8|+|−1−b^2|+2b^3 evaluates to 84.