Question

Question was provided via image upload.

Explanation:

Step1: Combine like terms for \(x^2\)

\(-5x^2 + 9x^2 = 4x^2\)

Step2: Combine like terms for \(x\)

\(-3x - x = -4x\)

Step3: Combine like terms for constants

\(-2 - 2 = -4\)

Step4: Combine all results

\(4x^2 - 4x - 4\)

The parts - whole model: The whole is the sum \(4x^2 - 4x - 4\), and the two parts are \(-5x^2 - 3x - 2\) and \(9x^2 - x - 2\).

Answer:

The whole (the result of the sum) is \(4x^2 - 4x - 4\), and the two parts are \(-5x^2 - 3x - 2\) and \(9x^2 - x - 2\). So in the model, the top box (whole) is \(4x^2 - 4x - 4\), the bottom left box (part) is \(-5x^2 - 3x - 2\), and the bottom right box (part) is \(9x^2 - x - 2\).