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

Respuesta :

Answer:

-11

Step-by-step explanation:

The given expression is:

[tex]|-4b-8|+|-1-b^2|+2b^3[/tex]

=[tex]|-(4b+8)|+|-(1+b^2)|+2b^3[/tex]

=[tex]4b+8+1+b^2+2b^3[/tex]

=[tex]4b+9+b^2+2b^3[/tex]

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

=[tex]4(-2)+9+(-2)^2+2(-2)^3[/tex]

=[tex]-8+9+4-16[/tex]

=[tex]-11[/tex]

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

Answer:

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

Step-by-step explanation:

Given: Expression = [tex]\left |-4b-8\right |+\left | -1-b^2\right |+2b^3[/tex]

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

Expression

[tex]\left |-4b-8\right |+\left | -1-b^2\right |+2b^3[/tex]

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

⇒[tex]\left |-4\times(-2)-8\right |+\left | -1-(-2)^2\right |+2(-2)^3[/tex]

⇒[tex]\left |8-8\right |+\left | -1-4\right |+2\times(-8)[/tex]

⇒[tex]\left |0\right |+\left | -5\right |+(-16)[/tex]

⇒[tex]0+5-16[/tex]

⇒ -11              

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