https://file.aiquickdraw.com/mathbot/file/1726515625676efdnjab7.jpg

The problem provided in the image is in Kazakh. Let's break it down and solve it step by step:

The expression is asking to find the value of:

\[
P(4) - 2P(-2)
\]

where \( P(x) = x^2 - 2x - 8 \).

### Step 1: Calculate \( P(4) \)

Substitute \( x = 4 \) into \( P(x) \):

\[
P(4) = 4^2 - 2(4) - 8 = 16 - 8 - 8 = 0
\]

### Step 2: Calculate \( P(-2) \)

Substitute \( x = -2 \) into \( P(x) \):

\[
P(-2) = (-2)^2 - 2(-2) - 8 = 4 + 4 - 8 = 0
\]

### Step 3: Calculate \( 2P(-2) \)

Since \( P(-2) = 0 \), we have:

\[
2P(-2) = 2 \times 0 = 0
\]

### Step 4: Final Calculation

Now, compute the entire expression:

\[
P(4) - 2P(-2) = 0 - 0 = 0
\]

Thus, the value of the expression is \( 0 \).

However, none of the provided answer choices (18, 9, -19, 19) matches the computed result, suggesting there might be an issue with the question setup or the calculation interpretation. Would you like to clarify or get more details on this?

P(x) = x^2 - 2x - 8. Find the value of P(4) - 2P(-2).

This problem involves finding the values of a quadratic function P(x) = x^2 - 2x - 8 at specific points and computing the result of P(4) - 2P(-2). Learn how to apply substitution in quadratic equations to find the solution.

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