Final answer:
The area of a rectangle with lengths p and (p-8) is given by multiplying the two expressions, resulting in an area of p² - 8p with no brackets.
Step-by-step explanation:
The area of a rectangle is calculated by multiplying its length by its width. In this case, one length is p and the other is (p-8). To express the area of the rectangle without brackets, we simply multiply these two expressions.
The area, A, of the rectangle is found by:
A = p(p-8)
This is expanded by using the distributive property:
A = p² - 8p
So the area of the rectangle as an expression with no brackets when one length is p and the other is (p-8) is p² - 8p.