Show all steps solve the problem evaluate the expression for given value of variable|-4b-8|+|-1=b2|+2b3:b=-2
you wrote
|-4b-8|+|-1=b2|+2b3
I shall endeavor to unravel the typos. If I get it wrong, fix it and follow the logic provided to arrive at the correct solution.
|-4b-8| + |-1-b^2| + 2b^3
|-4(-2)-8| + |-1-(-2)^2| + 2(-2)^3
|8-8| + |-1-4| + 2(-8)
0 + 5 - 16
-11
Well, well, well! It looks like we have a math problem to tackle. Let's break it down step by step and solve it with a little bit of clowning around.
Step 1: Substitute the value of b with -2 in the expression.
|-4b-8| + |-1=b2| + 2b3
|-4(-2)-8| + |-1=(-2)2| + 2(-2)^3
Step 2: Simplify the expression.
|8-8| + |-1=4| + 2(-8)
|0| + 4 + (-16)
Step 3: Simplify further.
0 + 4 - 16
Step 4: Perform addition and subtraction in order.
4 - 16
Step 5: Final step. Time to say goodbye to our clashing clown numbers.
-12
Ta-da! The answer after evaluating the expression for b = -2 is -12. There you have it, a touch of humor to illuminate your mathematical journey.
3 (a2 + b ) - 4 ( a2-b )
To evaluate the expression |-4b-8|+|-1=b2|+2b3, for b = -2, follow the steps below:
Step 1: Replace the variable b with its given value (-2) in the expression:
|-4(-2)-8|+|-1=(-2)^2|+2(-2)^3
Step 2: Simplify the expression within each absolute value:
|-8-8|+|-1=4|+2(-8)
Step 3: Further simplify the expression inside each absolute value:
|-16|+4+(-16)
Step 4: Evaluate the absolute values by taking the positive values:
16+4+(-16)
Step 5: Perform the addition:
20+(-16)
Step 6: Simplify the addition:
4
Therefore, the value of the expression |-4b-8|+|-1=b2|+2b3, for b = -2, is 4.