Question

Suppose you cut a small square from a square of fabric as shown in the diagram. Write an expression for the remaining shaded area. Factor the expression. Type your answer below.

Answer 1

To solve this problem you must apply the proccedure show below:

 1. You have the area of the larger square shown in the figure above, is:

 A=x²

 2. Then, you have the area of the smaller square shown in the figure above, is:

 A=3²
 A=9

 3. Therefore, the expression for the remaining shaded area is:

 A=x²-9
 A=(x-3)(x+3)