Question

The area (in square meters) of the surface of an artificial lake is represented by x2. Three ways to modify the dimensions of the lake are listed. Match the change in dimensions with the special product that represents the new area A of the lake.

Increase both dimensions by 2 meters:

Decrease both dimensions by 2 meters:

Increase one dimension by 2 meters and decrease the other dimension by 2 meters:

Answer 1

Increase both dimensions by 2 meters: (x+2)^2

Decrease both dimensions by 2 meters: (x-2)^2

Increase one dimension by 2 meters and decrease the other dimension by 2 meters: (x+2)(x-2)

Explanation: