You are a project manager working on a construction site. The difference in area between two square foundations is modeled by the expression ${}121p^2 - 9q^2$. To calculate the specific dimensions needed for the building materials, you must write this expression in its factored form. Which of the following correctly represents the factored form of this expression?

A manufacturing technician is verifying the specifications in a technical manual for a part with a cross-sectional area modeled by the expression ${}121p^2 - 9q^2$. To ensure the dimensions are correct, the technician must follow the standard procedure for factoring this expression. Arrange the following steps in the correct order to factor ${}121p^2 - 9q^2$ using the difference of squares pattern.

A floor tile specialist is designing a custom inlay for a commercial lobby. The area of the layout is modeled by the expression ${}121p^2 - 9q^2$. To determine the dimensions of the border tiles, the specialist uses the mathematical pattern $a^2 - b^2 = (a - b)(a + b)$. Match each part of the specialist's expression with its corresponding role in the pattern.

A packaging engineer is designing a specialized shipping container where the cross-sectional area of the base is represented by the expression ${}121p^2 - 9q^2$. To determine the side lengths for production, the engineer factors this expression using the mathematical identity $a^2 - b^2 = (a - b)(a + b)$. If one of the resulting dimensions is represented by the factor $({}11p + 3q)$, the other dimension is represented by the factor ____.

A structural designer is reviewing the specifications for a metal support plate with an area represented by the expression ${}121p^2 - 9q^2$. In the technical report, the designer states that the dimensions of the plate can be written as the product of the factors $(11p - 3q)$ and $(11p + 3q)$. Is the designer's statement true or false?

Acoustic Insulation Design Check

Estimating Panel Dimensions