Question

Enter your answer and

show all the steps that you
use to solve this problem in
the space provided.
Evaluate the expression for
the given value of the
variable.
1-46–8+/-1 – 6² +263
; b = -2​

Answer 1

`|-4b - 8| + |1 - b^2| + 2b^2 = 27`

For
`b = 2`

Explanation:

The correct expression is:

`|-4b - 8| + |1 - b^2| + 2b^2`

Required

Evaluate the expression for
`b = 2`

Substitute 2 for b in
`|-4b - 8| + |1 - b^2| + 2b^2`

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

Open all brackets

`|-4*2 - 8| + |1 - 2*2| + 2*2*2`

`|-8 - 8| + |1 - 4| + 8`

Evaluate all expressions in the absolute value brackets

`|-16| + |-3| + 8`

In absolute values:

`|-a| = a`

So, we have:

`16 + 3 + 8`

`27`

Hence:

`|-4b - 8| + |1 - b^2| + 2b^2 = 27`

For
`b = 2`