Explanation:

Let's calculate each part of the expression step by step:

1. Calculate each term's square for positive part:

- \(3^2 = 9\)

- \(7^2 = 49\)

- \(11^2 = 121\)

- \(13^2 = 169\)

- \(17^2 = 289\)

2. Sum of positive squares:

- \(9 + 49 + 121 + 169 + 289 = 637\)

3. Calculate each term's square for negative part:

- \(1^2 = 1\)

- \(5^2 = 25\)

- \(9^2 = 81\)

- \(11^2 = 121\)

- \(15^2 = 225\)

4. Sum of negative squares:

- \(1 + 25 + 81 + 121 + 225 = 453\)

5. Final calculation:

- \(637 - 453 = 184\)

Therefore, the correct answer is Option 4: 184.

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