Answer:
The value of the variable is -21,21 and 11 for solving the modulus for different expressions.
Explanation:
The given expression is in modulus which means that the values of the expression can be both negative and positive . So we are removing modulus but evaluating both values.
− 4 b − 8 − 1 − b 2 + 2 b 3
We did not change any sign taking the positive values into account.
So adding and subtracting would give
− 4 b − 9 − b 2 + 2 b 3
Now putting the value of b= -2
− 4 (-2) − 9 − (-2)^ 2 + 2 (-2) ^3
= 8-9-4-16= -21
Now again solving for taking value of last expression of the mod to be negative
| − 4 b − 8 | + ∣ ∣ − 1 − b 2 ∣ ∣ + 2 b 3 ∣
− 4 b − 8 − 1 − b 2 -2 b 3
− 4 (-2) − 9 − (-2)^ 2 - 2 (-2) ^3
= 8-9-4+16= 11
Now solving for taking value of last two expressions of the mod to be negative
| − 4 b − 8 | + ∣ ∣ − 1 − b 2 ∣ ∣ + 2 b 3 ∣
− 4 b − 8 +1 +b 2 -2 b 3
− 4 (-2) − 7 + (-2)^ 2 - 2 (-2) ^3
= 8-7 + 4+16= 21
And solving for taking value of all expressions of the mod to be negative
| − 4 b − 8 | + ∣ ∣ − 1 − b 2 ∣ ∣ + 2 b 3 ∣
+ 4 b + 8 +1 +b 2 -2 b 3
+4 (-2) + 9 + (-2)^ 2 - 2 (-2) ^3
= -8 +9 + 4+16= 21
Solving for taking the value of first and last expressions of the mod to be negative
| − 4 b − 8 | + ∣ ∣ − 1 − b 2 ∣ ∣ + 2 b 3 ∣
+ 4 b + 8 -1 -b 2 -2 b 3
+4 (-2) + 7 - (-2)^ 2 - 2 (-2) ^3
= -8 +7 - 4+16= 11
So we are getting the values of -21 and 21 and 11