Question

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Answer 1

Answer:

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

For $b = 2$

Step-by-step 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 $b = 2$