A facilities manager is calculating the usable floor area of a square storage room ($s$ by $s$ feet) that has a square structural pillar ($c$ by $c$ feet) in one corner. The expression for the net area is $s^2 - c^2$. According to the algebraic identity for a difference of squares, which of the following is the correct factored form of this expression?

Warehouse Facility Planning

An HVAC technician is calculating the effective airflow area of a square ventilation duct that contains a square internal support, represented by the expression $x^2 - 121$. True or False: According to the difference of squares identity, the factored form of this expression is $(x - 11)(x + 11)$.

A spatial designer for a commercial office firm is calculating the usable floor area of square rooms after square utility zones or structural pillars are removed. Match each algebraic expression representing the remaining floor area on the left with its equivalent factored form on the right using the difference of squares identity.

A facilities manager is calculating the usable floor area of a square warehouse ($w^2$) after a square storage unit ($s^2$) is installed. The remaining area is expressed as $w^2 - s^2$. According to the difference of squares identity, this expression factors into the product of the binomial $(w - s)$ and the binomial ____.

A retail inventory manager is calculating the area of a newly designed warehouse section. The length of the section is $(x + y)$ feet and the width is $(x - y)$ feet. To find the total area, the manager multiplies these two binomials to obtain a simplified expression. Arrange the algebraic steps of the multiplication process in the correct order to show how the middle terms cancel out, leaving a difference of squares.

Difference of Squares Formula Recall