Question

Evaluate the expression for the given value of the variable. | − 4 b − 8 | + ∣ ∣ − 1 − b 2 ∣ ∣ + 2 b 3 ; b = − 2

Answer 1

Answer:

-11

Step-by-step explanation:

The given expression is:

$|-4b-8|+|-1-b^2|+2b^3$

=$|-(4b+8)|+|-(1+b^2)|+2b^3$

=$4b+8+1+b^2+2b^3$

=$4b+9+b^2+2b^3$

Substituting the value of b=-2 in above expression, we get

=$4(-2)+9+(-2)^2+2(-2)^3$

=$-8+9+4-16$

=$-11$

Thus, the value of the given expression is -11.

Answer 2

Answer:

The value of expression at b= -2 is -11

Step-by-step explanation:

Given: Expression = $\left |-4b-8\right |+\left | -1-b^2\right |+2b^3$

To find: Value of given expression when b = -2

Expression

$\left |-4b-8\right |+\left | -1-b^2\right |+2b^3$

Put, b = -2 in above expression. we get

⇒$\left |-4\times(-2)-8\right |+\left | -1-(-2)^2\right |+2(-2)^3$

⇒$\left |8-8\right |+\left | -1-4\right |+2\times(-8)$

⇒$\left |0\right |+\left | -5\right |+(-16)$

⇒$0+5-16$

⇒ -11              

Therefore, The value of expression at b= -2 is -11