A logistics coordinator needs to find the difference between two supply chain cost models represented by the expression (9w^2 - 7w + 5) - (2w^2 - 4). Arrange the following steps in the correct order to solve this subtraction problem.

A logistics manager is calculating the difference between two operational cost models represented by the expressions (9w^2 - 7w + 5) and (2w^2 - 4). When performing the subtraction (9w^2 - 7w + 5) - (2w^2 - 4), which of the following correctly shows the expression after the subtraction sign has been distributed to the second polynomial?

When calculating the difference between two operational cost models represented by the expression (9w^2 - 7w + 5) - (2w^2 - 4), the subtraction sign should be distributed only to the first term of the second polynomial (2w^2), leaving the constant term (-4) unchanged.

A logistics manager is calculating the difference between two operational budget models represented by the expressions $(9w^2 - 7w + 5)$ and $(2w^2 - 4)$. To find the difference $(9w^2 - 7w + 5) - (2w^2 - 4)$, the manager must distribute the subtraction sign and combine like terms. Match each part of the expression with its correct value or form after these steps are performed.

Auditing a Model Comparison Step

Calculating Performance Metric Variance

A data analyst is calculating the variance between two performance models using the expression $(9w^2 - 7w + 5) - (2w^2 - 4)$. When distributing the subtraction sign across the second model to remove the parentheses, the original constant term $-4$ becomes ____.

Procedural Documentation for Cost Model Variance

An operations manager is comparing two production cost models, represented by $P_1 = (9w^2 - 7w + 5)$ and $P_2 = (2w^2 - 4)$. To calculate the difference between these models, the manager must first identify 'like terms' that can be combined. Which term in the first model ($P_1$) is the like term for the $2w^2$term in the second model ($P_2$)?

A project analyst is calculating the difference between two budget variance models using the expression $(9w^2 - 7w + 5) - (2w^2 - 4)$. Once the expression is fully simplified, what is the coefficient of the $w$ term?