Answer:
[tex]\boxed {\boxed {\sf a=x^2-25}}[/tex]
Step-by-step explanation:
The area of a rectangle is the product of length and width.
[tex]a=l*w[/tex]
The length is (x+5) and the width is (x-5).
[tex]a= (x+5)(x-5)[/tex]
We have two binominals, so we can multiply using FOIL: First, Outside, Inside, Last.
- F: x*x= x²
- O: x*-5= -5x
- I: x*5= 5x
- L: 5*-5 = -25
[tex]a= x^2-5x+5x-25[/tex]
Combine the like terms: -5x and 5x. They cancel each other out.
[tex]a=x^2-25[/tex]
The area of the rectangle is x²-25
